Working out x on a vertical opposite angle

[ChickenFarmer]

Hello,

I am wondering if someone can brake this down for me.

I know the answer for x is 34 and y is 98 but not sure how they got to it.

The question is

Calculate the value of x and y.



Sorry don't know why image is upside down

 

[Deleted member 4993]

Hello,

I am wondering if someone can brake this down for me.

I know the answer for x is 34 and y is 98 but not sure how they got to it.

The question is

Calculate the value of x and y.

View attachment 10322

Sorry don't know why image is upside down

When two st. lines intersect at point, it creates
vertical opposite angles and adjacent angles.

Do you recall any theorems regarding those angles?

 

[ChickenFarmer]

When two st. lines intersect at point, it creates
vertical opposite angles and adjacent angles.

I understand that, just can't get my head around where they got 34 and 98 from.

Do you recall any theorems regarding those angles?

Don't understand what you mean?

 

[Deleted member 4993]

I understand that, just can't get my head around where they got 34 and 98 from.



Don't understand what you mean?

The two adjacent angles here are (2x+30) and (3x-20). These are adjacent angles. What should be their sum?

 

[sinx]

Hello,

I am wondering if someone can brake this down for me.

I know the answer for x is 34 and y is 98 but not sure how they got to it.

The question is

Calculate the value of x and y.

View attachment 10322

Sorry don't know why image is upside down

180=(2x+30)+(3x-20)
continue....

 

[sinx]

NO! you continue.

180=(2x+30)+(3x-20)
170/5=x=34
y=2x+30
y=98

 

[ChickenFarmer]

180=(2x+30)+(3x-20)
170/5=x=34
y=2x+5
y=98

Thanks Sinx,

for some reason I was doing 360/5 which is where i got confused.

Makes sense now.