If measure of angle 2 is 4 times measure of angle 2, find...
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mmm4444bot
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The sum of angle 1's measure and angle 2's measure is 180 degrees.
Do you understand why? Let me know, if you do not understand this.
You're told that the measure of angle 2 is four times the measure of angle 1.
Let x = the measure of angle 1.
Use the following fact to write an equation: Four times the measure of angle 1 plus the measure of angle 1 totals 180 degrees.
4x + x = 180
Solve this equation for x, and you will have the measure of angle 1.
Multiply this measure by four to get the measure of angle 2.
Does this help?
Do you understand why? Let me know, if you do not understand this.
You're told that the measure of angle 2 is four times the measure of angle 1.
Let x = the measure of angle 1.
Use the following fact to write an equation: Four times the measure of angle 1 plus the measure of angle 1 totals 180 degrees.
4x + x = 180
Solve this equation for x, and you will have the measure of angle 1.
Multiply this measure by four to get the measure of angle 2.
Does this help?
Re: If m<2=4(m<1), find m<2
ok so then angle 1 is 4x
4x+ x=180 ( that angle 1 is going to be 4 times the measure of angle 1 so i took the measure of angle 1 which is 4 times 4 and got 16
so 4x + 16x =180
combine 4x+16x
so 20x=180
x=9
x=9 is this correct
ok so then angle 1 is 4x
4x+ x=180 ( that angle 1 is going to be 4 times the measure of angle 1 so i took the measure of angle 1 which is 4 times 4 and got 16
so 4x + 16x =180
combine 4x+16x
so 20x=180
x=9
x=9 is this correct
mmm4444bot
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MathIQ said:
I previously wrote the following.
Let x = the measure of angle 1.
Why are you changing this expression to 4x?
You're told that the measure of angle 2 is four times the measure of angle 1.
Four times x is 4x.
So, 4x is the expression for the measure of angle 2, not angle 1.
If you follow the instructions that I previously posted, then you will arrive at the answer to this exercise.
If you do not understand anything that I post, then please ask a specific question.
mmm4444bot
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MathIQ said:
No.
The measure of angle 1 is x.
Do not change this.
We're told that the measure of angle 2 is four times the measure of angle 1.
Since we chose the symbol x to represent the measure of angle 1, four times the measure of angle 1 is written as 4x.
In other words, the expression for angle 2 is 4x.
Just to be sure, let me repeat this.
Angle 1 is x.
Angle 2 is 4x.
Together, these two measures add up to 180.
This is why I previously told you to use the following equation.
x + 4x = 180
If you solve this equation for x, then you get a number.
That number is the measure of angle 1 because x is the measure of angle 1.
Multiply that number by 4, and you've got the answer to this exercise.
mmm4444bot
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Here's an example exercise. See if you can follow it.
The measure of angle 1 plus the measure of angle 2 equals 270 degrees.
The measure of angle 2 is three times the measure of angle 1.
What is the measure of angle 2?
SOLUTION:
Let x represent the measure of angle 1.
Then the expression 3x represents the measure of angle 2.
The sum of these two unknown angles is 270 degrees.
x + 3x = 270
Solve for x.
4x = 270
x = 270/4
x = 67.5
The measure of angle 1 is 67.5 degrees.
3(67.5) = 202.5
Therefore, the measure of angle 2 is 202.5 degrees.
Do you understand this example?
The measure of angle 1 plus the measure of angle 2 equals 270 degrees.
The measure of angle 2 is three times the measure of angle 1.
What is the measure of angle 2?
SOLUTION:
Let x represent the measure of angle 1.
Then the expression 3x represents the measure of angle 2.
The sum of these two unknown angles is 270 degrees.
x + 3x = 270
Solve for x.
4x = 270
x = 270/4
x = 67.5
The measure of angle 1 is 67.5 degrees.
3(67.5) = 202.5
Therefore, the measure of angle 2 is 202.5 degrees.
Do you understand this example?
mmm4444bot
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Based on many of your posts, today, I think that you do not understand how to solve simple equations.
In other words, I think that you are not ready to learn trigonometry.
x + 4x = 180
Why are you trying to subtract x from both sides of this equation? (It's wrong to subtract, but you didn't even do that properly.)
You do not want to subtract x.
The terms 4x and x are what we call "like terms". In other words, they can be combined.
4x and x combine to make 5x.
5x = 180
If you do not understand this, then please speak with your instructor.
You need to learn algebra before you can learn trigonometry.
In other words, I think that you are not ready to learn trigonometry.
x + 4x = 180
Why are you trying to subtract x from both sides of this equation? (It's wrong to subtract, but you didn't even do that properly.)
You do not want to subtract x.
The terms 4x and x are what we call "like terms". In other words, they can be combined.
4x and x combine to make 5x.
5x = 180
If you do not understand this, then please speak with your instructor.
You need to learn algebra before you can learn trigonometry.
mmm4444bot
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MathIQ said:
Then what is the value of x?
Once you know the value of x, then you can answer the exercise.
(Well, you should be able to answer it, IF you remember what the symbol x represents, and you understand the given information.)
mmm4444bot
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MathIQ said:
This is the correct value for x.
Now, tell me what the symbol x represents. (In other words, what does the number 36 mean in this exercise?)
mmm4444bot
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Jeff, you just told me that the symbol x represents the measure of angle 2.
This is wrong.
You do not remember what the symbol x represents.
It seems to me that this is a failure to understand basic algebra. Once we assign the symbol x to represent something within an exercise, then we need to remember what x represents during the ENTIRE exercise. Otherwise, how are we supposed to know what we're doing? You need to learn how to work with symbols algebraically BEFORE you try to learn geometry (or any other branch of mathematics) that requires understanding algebraic methods (like solving simple equations in x, and using that solution to answer a question).
Now it's time to play Where's Waldo?
Go back to the very beginning of this thread, and re-read every post, until you find exactly what it is that x represents.
This is wrong.
You do not remember what the symbol x represents.
It seems to me that this is a failure to understand basic algebra. Once we assign the symbol x to represent something within an exercise, then we need to remember what x represents during the ENTIRE exercise. Otherwise, how are we supposed to know what we're doing? You need to learn how to work with symbols algebraically BEFORE you try to learn geometry (or any other branch of mathematics) that requires understanding algebraic methods (like solving simple equations in x, and using that solution to answer a question).
Now it's time to play Where's Waldo?
Go back to the very beginning of this thread, and re-read every post, until you find exactly what it is that x represents.