Question

Two angles of quadrilateral are 50 degaree and 70 degaree and other two angles are in the ratio 13:11 , then find measures of the remaining two angles

Answer 1

Let the other two angles are 13 x and 11 x.

A/Q, 13 x + 11 x+ 50 + 70 = 360

⇒  24 x = 360 - 120

⇒ 24 x= 240

∴ x = 10

Remaining two angles are 130 and 110.

Answer 2

We know Quadrilaterals have 4 sides and total 360°
1st angle=50°
2nd angle=70°

3 and 4 are in=13:11 ratio
LET it be 13x:11x
a/q
70°+50°+13x+11x=360
120+24x=360
24x=360-120
24x=240
x=240/24
x=10
3 angle=13×10=130°
4 angle=11×10=110°

1st angle=50°
2nd angle=70°

3rd angle=130°
4th angle=110°