Question

MZRSK = x + 53, m KST = x + 109,
and mZRST = 156º


Find x.

Answer 1

`-3 = x`

Explanation:

Since we are not given a midpoint, we use the Angle Addition Postulate:

156 = [x + 109] + [x + 53]

156 = 162 + 2x

-162 - 162

_______________

−6 = 2x

___ ___

2 2

−3 = x

[−3 + 53] + [−3 + 109] = 156

50 106

156 = 156 ☑

Therefore,
`-3 = x`is a genuine statement.

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