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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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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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Feb 12, 2017
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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?
Mathematics
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Alaa Salah
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Answer: The measure of angle R is 58 degrees.
Brad Collins
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Feb 13, 2017
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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
Millimoose
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Feb 17, 2017
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Millimoose
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