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): You can put this solution on YOUR website!
The angle measures to be determined x and y.


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

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:  

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