(2) In a right angled triangle, one of the acute angles exceeds the ot

1.	(2) In a right angled triangle, one of the acute angles exceeds the other by 20Â°. Find themeasure of both the acute angles in the right angled triangle
Answer» 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

(2) In a right angled triangle, one of the acute angles exceeds the other by 20Â°. Find themeasure of both the acute angles in the right angled triangle

Answer»

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