the sum of two angles of aquadilateral is 150 the remaining two angle are in ratio 3:4 find the angle Question the sum of two angles of aquadilateral is 150 the remaining two angle are in ratio 3:4 find the angle in progress 0 Math Hailey 2 weeks 2021-10-01T15:54:21+00:00 2021-10-01T15:54:21+00:00 2 Answers 0 views 0

## Answers ( )

Step-by-step explanation:Let in quad ABCD

A + B = 150

C = 3x

D= 4x

Using

the sum of interior angle of quad is 360

therefore

A + B + C + D = 360

150 + 3x + 4x = 360

7x = 210

x = 30

C = 3×30=90

D = 4×30= 120

Answer:the remaining two angles are 90° and 120°

Step-by-step explanation:given,

two angles = 150°

another two angles are in the ratio 3:4 ,let the ratios be x, we get 3x & 4x

we know that sum of all angles in a quadrilateral is 360°

we get , 150°+3x+4x = 360°

150°+7x = 360°

7x = 360°-150°

7x = 210°

x = 210°/7

x = 30°

therefore third angle = 3x = 3×30° = 90°

and fourth angle = 4x = 4×30° = 120°