Question

In a right-angle triangle, two acute angles are in ratio 2:3.what are their measures?

Answer 1

it's a right angle so one angle is 90°.other two which are in ratio can be taken as 2x and 3x.sum of all angles =180.

180=90+2x+3x
180-90=5x
90=5x
18=x

so other two angles are 18×2=36 n 18×3=54

Answer 2

let angle be = 2x
and other be = 3x
and third angle is 90°. ( since it is a right triangle)

now
2x+3x+90 = 180°. ( angle sum property)

5x = 180-90

5x. = 90
X. = 90/5
X. = 18

now first angle = 2x= 2*18=. 36°
second angle 3x=3*18=54°