Question

In a quadrilateral ABCD, AB//BC. if angleA:angle D=2:3, angleB:angle C=7:8. Find the measure of each angle

Answer 1

Answer:

angle A is 72 degree

angle B is 84 degree

angle C is 96 degree

angle D is 108 degree

Step-by-step explanation:

Angle A = 2x

Angle D = 3x

angle A +angle D = 180 degree; (Adjacent angle)

2x+3x=180

5x=180

x=180/5

x=36

2x=2×36

=72 degree

3x=3×36

=108 degree

Angle B+Angle C=180 degree; (Adjacent angle)

7x+8x=180 degree

15x=180

x=180/15

x=12

7x=7×12

=84 degree

8x=8×12

=96 degree