The complementary and supplementary angles of an angle are in ratio 2:5 respectively. Find the measure of that angle
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The Measure Of The Angle Is 30°
GIVEN
The ratio of the complementary and supplementary angles = 2:5
TO FIND
Measure of the angle.
SOLUTION
We can simply solve the above problem as Follows.
We know that,
The supplementary angles are angles whose sum = 180°
The complementary angle are angles whose sum = 90°
Let the angle be, x.
So,
x + supplementary angle = 180°
supplementary angle = 180-x
Similarly,
x + complementary angle = 90°
Complementary angle = 90-x
According to the question;
x = 30°
Hence, the measure of the angle is 30°
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