Question

Find the value of x

Answer 1

x = 20

Explanation:

the angle vertically opposite is congruent to (2x + 16)

then 2x + 16 and 6x + 4 are same-side interior angles and sum to 180°

sum the 2 angles and equate to 180

2x + 16 + 6x + 4 = 180

8x + 20 = 180 ( subtract 20 from both sides )

8x = 160 ( divide both sides by 8 )

x = 20