Question

Find the measure of

Answer 1

Z = 108º

Explanation:

The interior angles of a quadrilateral (4-sided figure) sum to 360º (think about a rectangle). Therefore,

(x + 2x + 4x + 3x)º = 360º

↓ combining like terms

10xº = 360º

↓ dividing by 10º

x = 36

We can use this x-value to find the measure of angle Z.

Z = 3xº

Z = 3(36)º

Z = 108º