SOLUTION: the measure of two complementary angles have a ratio of 2 : 7. what is the measure of the smaller angle

Question 578189: the measure of two complementary angles have a ratio of 2 : 7. what is the measure of the smaller angle
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Complementary means the angle add up to 90 degrees
Let the angles be and
given:
(1)
(2)
-------------
Multiply both sides of (2) by
(2)
and
(1)
Substitute this into (2)
(2)
(2)
(2)
(2)
and

The smaller angle is 20 degrees
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