SOLUTION: One angle of a triangle has a measure of 66. The measure of the third angle is 57 more than 1/2 the measure of the second angle. The sum of the angle measures of a triangle is 18
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Question 1044856: One angle of a triangle has a measure of 66. The measure of the third angle is 57 more than 1/2 the measure of the second angle. The sum of the angle measures of a triangle is 180. What is the measure of the second angle? What is the measure of the third angle? Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39617) (Show Source):
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One angle of a triangle has a measure of 66. The measure of the third angle is 57 more than 1/2 the measure of the second angle. The sum of the angle measures of a triangle is 180. What is the measure of the second angle? What is the measure of the third angle?
1st angle: 66
Let measure of 2nd angle be S
Then 3rd angle =
Since the 3 angles sum to , we get: _______
2S + S = 114 ------- Multiplying by LCD, 2
3S = 114
S, or measure of 2nd angle:
Measure of 3rd angle:
(