SOLUTION: Two angles are complementary. The sum of the measure of the first angle and half the second angle is 69 degrees. find the measures of the angles

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Question 239000: Two angles are complementary. The sum of the measure of the first angle and half the second angle is 69 degrees. find the measures of the angles
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 90 (complementary angles)
x + y/2 = 69

solve for x in the first equation to get x = 90-y

replace x in the second equation to get:

90-y + y/2 = 69

multiply both sides of the equation by 2 to get:

(90-y)*2 + y = 69*2

remove parentheses to get:

180-2y+y = 138

combine like results to get:

180 - y = 138

add y to both sides and subtract 138 from both sides of the equation to get:

180-138 = y which becomes y = 42

your angle should be 42.

complement of your angle should be 90-42 = 48

x = 48
y = 42

48 + 42 = 90

48 + 42/2 = 48 + 21 = 69

looks ok.

answer is x = 45 and y = 42.