Question

Two complementary angles are in the ratio 4:5. Find the angles ?

Answer 1

Complementary angles are those angles whose sum equals 90°.

Their given ratio = 4:5


Let one of them be 4x and the other one be 5x.


As they are complementary angles
then,
4x +5x = 90°
9x =90°
x = 10°.


As x = 10°
Therefore,
4x = 4×10 = 40°
and
5x = 5×10 = 50°.

Hence, those two angles are 40° and 50°

Answer 2

Hey!

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Let angle be x

Angles are in ratio - 4:5
Angle 1 = 4x
Angle 2 = 5x

Complementary angles sum up to 90°, so,

4x+5x= 90
9x = 90
x= 90/9
x= 10

Thus, one angle = 4×10=40°
And second angle = 5×10 = 50°

50+40=90°

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Hope it helps...!!!