Question

Find the value of x. Then, find the measure of each labelled angle. x=_(6x+20)°=_(8x)°=_

Answer 1

The angles labelled are similar, and therefore, they are equal. Hence, we get the equation

`6x+20=8x`

subtracting 6x from both sides gives

`20=2x`

finally, dividing both sides by 2 gives

`x=10.`

With the value of x in hand, we now find the measure of the labelled angles.

The first angle measures

`(6x+20)^o=(6(10)+20)=80^o^{}^{}^{}`

the second angle measures the same:

`8(10)=80^o`