M∠qps=40°, m∠rps = (8x + 7) °, and m∠qpr = (9x + 16) °. find the measure of x. show your work.

Question

Mathematics

Harold Ball

31 July, 01:36

M∠qps=40°, m∠rps = (8x + 7) °, and m∠qpr = (9x + 16) °. find the measure of x. show your work.

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Answers (1)

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Jazmine Hale · Answer 1

The sum of angles in a triangle is 180°

40° + (8x+7) ° + (9x+16) ° = 180°

40 + 8x + 7 + 9x + 16 = 180°

40 + 7 + 16 + 8x + 9x = 180°

63 + 17x = 180°

17x = 180 - 63

17x = 117

x = 117 : 17

x = 6.9 °