Question

Two angles of a triangle are in the ratio 2:3.if the sum of these angles is equal to third angle.find the angles of triangle

Answer 1

Let x=2x
y=3x
z=2x+3x=5x
We know that
x+y+z=180°
Therefore, 2x+3x+5x
10x=180°
x=18
Therefore
x=2*18=36
y=3*18=54
z=5*18=90
As you can see
x+y=z

Answer 2

Given : two angles in ratio 2:3 and sum of two angles is equal to third angle. Let as 2 = 2x 3 = 3x And third angle = 2x + 3x = 5x Sum of all angles of triangle = 180° 2x + 3x. + 5x = 180° 10x. = 180 x. = 180/10 x. = 18 Now 2x. = 18 × 2 = 36° 3x. = 18 ×3 =54° 5x. = 18×5 = 90°