Two angles are comforter angles if the sum is 90 degree If t

Two angles are comforter angles if the sum is 90 degree If the measure of the larger of two complementary angles is 50 degree than times the measure of the smaller angle, find the measures of the two angles. The measure of the smaller angle is.

Solution

Let x and y degrees be the two complimentary angles.

x +y =90

Let x be the larger angle .

as given x =3y +50

Putting value of x in x+y =90

3y +50 +y =90

4y =40

y =10

x =80

Measure of smaller angle is 10 degree.

Thank you