Question

Find the angle measure.

The measure of angle XYZ is

Answer 1

∠XYZ = 102

Explanation:

1st step is to solve x from ΔWXY

∠W + ∠X + ∠Y = 180

where ∠W = 5x + 2

∠X = 7x + 4

∠Y = 180 - (15x - 18)

= 198 - 15x

now plugin values into the equation:

5x + 2 + 7x + 4 + 198 - 15x = 180

combine similar terms:

5x + 7x - 15x = 180 - 2 - 4 - 198

simplify:

-3x = -24

x = -24 / -3

x = 8

2nd step is to substitute x = 8 into ∠XYZ

∠XYZ = 15x - 18

∠XYZ = 15(8) - 18

∠XYZ = 102