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2 years ago

Find the angle measure. The measure of angle XYZ is

Mathematics

1 answer:

shutvik [7]2 years ago

6 0

Answer:

Step-by-step explanation:

<u>1st step is to solve x from ΔWXY</u>

∠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

<u>2nd step is to substitute x = 8 into ∠XYZ</u>

∠XYZ = 15x - 18

∠XYZ = 15(8) - 18

∠XYZ = 102

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