SOLUTION: An angle measures 61.8 more than the measurement of its complementary angle. What is the measure of each angle

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Question 1184648: An angle measures 61.8 more than the measurement of its complementary angle. What is the measure of each angle
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
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two angles are called complementary if their measures add to 90 degrees

so if an angle measures 61.8 more than the measurement of its complementary angle, then the measurement of its complementary is90-61.8=28.2 degrees

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
An angle measures 61.8 more than the measurement of its complementary angle.
What is the measure of each angle
~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let the unknown angle be x degrees.


Then the complementary angle is  (90-x) degrees.


The problem says


    x - (90-x) = 61.8 degrees.


Simplify, solve and find x


    2x = 61.8 + 90

    2x = 151.8

     x = 151.8/2 = 75.9  degrees.    ANSWER

Solved, and thoroughly explained.