SOLUTION: Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measures of the angles.

Question 251224: Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measures of the angles.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
We can call the two angles 'a' and 'b'.
We are told they are complementary, so:
a + b = 90
And we're told that 'a' is 21 more than twice 'b'.
a = 2*b + 21
.
Substituting for 'a', we have:
2*b+21 + b = 90
.
Collecting like terms and simplifying:
3b = 69
b = 23
.
Substituting the value of 'b' we find 'a'.
a = 2b + 21
a = 2*23 + 21
a = 67
.
Done.
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