SOLUTION: An angle measurs 26 degrees more than 3 times its completment. Find the measure of its complement

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Question 344797: An angle measurs 26 degrees more than 3 times its completment. Find the measure of its complement
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
Using the fact that the sum of "Complementary angles is 90 degees:
Let x and y represent the two angles
x + y = 90 or
x = (90 - y)
.
x = (3y - 26) (is also true as is stated in the question)
.
(90 - y) = (3y - 26)
116 = 4y
y = 29 is the complement of x
.
Check Your answer!
x =(3y-26)= 61 and 61 + 29 = 180