Question

What is the value of x?

Answer 1

x = 21

Explanation:

The angle adjacent to 3x + 2 corresponds to 5x + 10 and are congruent.

The 2 adjacent angles then lie on a straight line and sum to 180° , then

5x + 10 + 3x + 2 = 180

8x + 12 = 180 ( subtract 12 from both sides )

8x = 168 ( divide both sides by 8 )

x = 21

Answer 2

x = 21

Explanation:

The angles are supplementary

therefor

(3x + 2) + (5x + 10) = 180

Combine like terms

8x + 12 = 180

subtract 12 from both sides

8x = 168

Divide both sides by 8

x = 21