PDA

View Full Version : supplement and complement



09-21-2005, 08:45 PM
The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle. Find the measure of the complement.



I know the answer is 70 degrees because i looked in the back of the book but i need to know how to solve it. Thanks for your help

tkhunny
09-21-2005, 09:24 PM
The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle. Find the measure of the complement.What is the name of the angle? You don't know? Oh, well, then, I guess we should give it a name.

x = The Angle we are looking for.

Supplementary Angles add to 180
Complementary Angles add to 90

Decode one piece at a time.

"The supplement of an angle" That's (180 - x)
"The complement of an angle" That's (90 - x)
"the supplement of the complement of the angle" That's [180 - (90 - x)]

"The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle."

"(180 - x) is 60 degrees less than twice the supplement of the complement of the angle."

"(180 - x) is 60 degrees less than twice [180 - (90 - x)]"

Can you finish?

09-21-2005, 09:54 PM
yes, i can. thank you soooooooooo much i love you!

mrmscheergirl
02-07-2012, 09:02 PM
Please explain again. I have a problem too. It is an angle is 3 times its complement. Find the two angles;)

Denis
02-08-2012, 01:43 AM
Please explain again. I have a problem too. It is an angle is 3 times its complement. Find the two angles;)
Hint: x + 3x = 90

Mrspi
02-08-2012, 04:33 PM
Please explain again. I have a problem too. It is an angle is 3 times its complement. Find the two angles;)

A slightly different approach than the one Sir Denis suggested:

let x = measure of the angle
then, 90 - x = measure of the complement

(I like this "beginning" because you can use it on ANY complementary angles problem)

Ok....the problem says

the measure of the angle is 3 times the measure of the complement

x = 3*(90 - x)

Now, can you solve that for x? That (as we've stated) is the measure of the angle, and 90 - x is the measure of the complement.