Question

in right angled triangle one of the acute angles exceed the other by 20°.find the measure of both the acute angles in 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

Answer 2

in right angled triangle, there is a one angle of 90 

then, first acute angle be x and then other will be x+20





as we know that the sum of the angles of a triangle is 180

then,


180= 90+x+x+20

180-90 = 2x+20

90-20 = 2x

70 = 2x

70/2 = x


35 =x 


then,the angles are 90, 35  and (35+20) = 55




i hope this will help you 




- by ABHAY