Question

In right angled triangle, one of the acute angles exceeds the other by ${20}^o$. Find the measure of both the acute angle in the right angled triangle.

Answer 1

Let the three angles are A,B and C
it's an rt angle triangle
let B=90°
also given that one angle exceed other by 20°
i.e.A=C+20°
by angle sum property of triangle
A+B+C=180°
C+20+90+C=180
C=35°
A=C+20=35+20=55°
so 35° and 55° are required angles