Question

Side XY of triangle XYZ is extended to point W, creating a linear pair with ∠WYZ and ∠XYZ.

Triangle X Y Z. Point W extends from side X Y. Angle Z is 36 degrees, angle Y is x degrees, and exterior angle W Y Z is 100 degrees.

What is the value of x?

Answer 1

80 is correct

Explanation:

Answer 2

`x= 80^o`

Explanation:

Given

`\angle Z = 36^o`

`\angle WYZ = 100^o`

Required

Find x

`\angle WYZ` and x are on a straight line.

So:

`\angle WYZ + x= 180^o`

Make x the subject

`x= 180^o -\angle WYZ`

Substitute known value

`x= 180^o -100^o`

`x= 80^o`