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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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If angle RNP 8x 63 degrees and angle NRS 5x degrees find the following angle measures9 Angle RNP10 Angle NRS class=

Respuesta :

rlesandisusanya

Answer:

Angle RNP = 135°

Angel NRS = 45°

Step-by-step explanation:

Interior Angles

[tex](8x + 63) + 5x = 180 \\ 8x + 63 + 5x = 180 \\ 8x + 5x + 63 = 180 \\ 13x + 63 = 180 \\ 13x = 180 - 63 \\ 13x = 117 \\ x = {9}^{o} [/tex]

[tex]8x + 63 \\ 8(9) + 63 \\ 72 + 63 \\ {135}^{o} \\ \\ 5x \\ 5(9) \\ {45}^{o} [/tex]