Question

In a right angled triangle,one of the acute angles exceeds the other by 20degree, find the measure of both the acute angles in the right angled triangle

Answer 1

Let one angle be x
Thus the other angle is x+20
Hence in a triangle,
x + x + 20 + 90 = 180 ------ sum of all angles of triangle
thus, 2x + 110 = 180
2x = 180 -110
2x = 70
x =35
Thus one angle is 35°
second is 55°