Two angles are complementary. The larger angle is 3° less than twice the measure of the
smaller angle. Find the measure of each angle.
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Question-
Two angles are complementary. The larger angle is 3° less than twice the measure of the smaller angle. Find the measure of each angle.
Solution-
we know that,
Complementary angles are those pair of angles whose sum is 90 degrees.
Let x be larger angle and y be the smaller angle.
A/Q,
x = 2y - 3.
We know that x + y = 90,
Substituting we get,
2y - 3 + y = 90
3y = 93
y = 31°.
so,
x = 2y - 3
x = 2 (31) - 3
x = 59°.
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