Question

In a quadrilateral ABCD , AB is parallel toDC. angle A :D=3:7 and angle B:C = 9:6. find the measure of each angle​

Answer 1

Answer:

Given that ABCD is quadrilateral and AD parallel to DC.

Angle A:D = 3:7

3x + 7x = 180

10x = 180

x = 18.

Angle A= 3x = 3× 18 = 54

Angle D= 7x = 7× 18= 126.

also given angle B:C = 9:6

9x + 6x = 180

15x = 180

x= 12.

Angle B = 9×12 = 108.

Angle C = 6×12= 72.

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