Question

one of the exterior angles of a triangle is 130°and the interior opposite side angle are ratio 2:3 find the angle of the triangle

Answer 1

given:-exterior angle-130 degree
other angles in ratio 2:3 and let them be 2x and 3 x..

so 130+the other angle= 180 degree
so other angle=180-130=50 degree..

the sum of the interior angles of a triangle= 180 degree..

so 2x+3x+50=180

5x=180-50=130
x=130/5=26..

x=26 degree
2x=2*26=52 degree
3x=3*26 = 78 degree..

so , 50+52+78=180 degree..

HENCE VARIFIED..

HOPE IT HELPS..

Answer 2

Answer:

Given:

Exterior angle=130

Interior opposite angles are in the ratio= 2:3

Step-by-step explanation:

Let us take the ratio 2:3 as 2x, 3x

2x+3x= 130 (Exterior Angle Property of a Triangle)

5x=130

x= 130/5

x=26

Other angles:

2x= 2×x= 2×26= 52

3x= 3×x= 3×26= 78

∴ Interior Angles= 52°, 78°