Question

If angle RNP = (8x + 63) degrees and angle NRS = 5x degrees, find the following angle measures.

9. Angle RNP

10. Angle NRS
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Answer 1

Angle RNP = 135°

Angel NRS = 45°

Explanation:

Interior Angles

`(8x + 63) + 5x = 180 \\ 8x + 63 + 5x = 180 \\ 8x + 5x + 63 = 180 \\ 13x + 63 = 180 \\ 13x = 180 - 63 \\ 13x = 117 \\ x = {9}^(o)`

`8x + 63 \\ 8(9) + 63 \\ 72 + 63 \\ {135}^(o) \\ \\ 5x \\ 5(9) \\ {45}^(o)`