Question

Find the value of x. The diagram is not to scale.

The value of x is ______?

Answer 1

@Abhisar @SolomonZelman @nikato

Answer 2

\(\large\color{blue}{ 180(n-2) }\) is a sum of angle measures for a polygon with n sides.

Answer 3

when n is 5 (your case)
\(\large\color{blue}{ 180(5-2)=180(3)=540 }\)

So, \(\large\color{blue}{ 540 =(2x+10)+148+112+2x+90 }\)

Answer 4

Go from here.

Answer 5

540 = (2X+10) + 350 +2X

Answer 6

@SolomonZelman

Answer 7

you can still combine more terms on the right

Answer 8

X = 45?
@SolomonZelman

Answer 9

looks good