Question

If in a right angled triangle one angle is 90 degree and other two angles are in a ratio 2:3, find the smallest angle of a triangle. *

Answer 1

one angle = 90 degree

second angle = 2X

third angle = 3X

90+2X+3X=180(angle sum property)

90+5X=180

5X=180-90

5X=90

X=90/5

X=18 degree

second angle =2X=2×18=36 degree

third angle =3X=3×18=54 degree