In triangle QRS, the measure if angle Q is (8x), the measure of angle R is (14x+2) and the meaure of angle S is (10x+50) What is the measure of angle R?

Question

Mathematics

Pedro

9 May, 18:48

In triangle QRS, the measure if angle Q is (8x), the measure of angle R is (14x+2) and the meaure of angle S is (10x+50) What is the measure of angle R?

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Answers (1)

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Ryder · Answer 1

A triangle has 180 degrees total. therefore, 8x + 14x + 2 + 10x + 50 = 180.

Combine like terms: 32x + 52 = 180.

subtract 52 from both sides: 32x = 128

divide by 32: x = 4

Now: Substitute x = 4 in for 14x + 2. The measure of angle R = 58 degrees