Question

In a right angled triangle one of the acute angles is one fifth of other find the measure of the smallest angle

Answer 1

The smallest acute angle is 15

Answer 2

Answer:Let the triangle ABC

Angle B=90°(because it is right angled traingle)

Let angle A=x

Angle C=1/5×x=1/5x

Angle A+ angle B+angle C =180°

X+90°+x/5=180°

X+x/5=90°

5x+x=5×90°

6x=5×90°

X=5×90°÷6

X=75°

smaller angle =1÷5×x =1/5×75°=15°

So the answer is =15°