SOLUTION: two angles are complimentry. The sum of the measure of the first angle and half the second angle is 69degrees. Find the measures of the angles
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Question 577820: two angles are complimentry. The sum of the measure of the first angle and half the second angle is 69degrees. Find the measures of the angles Answer by dfrazzetto(283) (Show Source):
You can put this solution on YOUR website! 2 angles are complementary is their sum is 90 degrees, so:
a + b = 90
a + b/2 = 69 system of equations, multiply bottom by -1
a + b = 90
-a -b/2 = -69 add
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b - b/2 = 21
b/2 = 21
b = 21(2) = 42
a + 42 = 90
a = 90 - 42 = 48
Check:
a + b/2 = 69
48 + 42/2 = 69
48 + 21 = 69
69=69 √
