Question

In the figure AB is parallel to DC a)Find all inner angles of the quadrilateral ABCD b)Find all outer angles of the quadrilateral ABCD​

Answer 1

Step-by-step explanation:

a) here, AB || DC and AD and Be are the transversal

now, angle A +D =180°

(co-interior angles are supplementary)

95°+ D= 180°

D= 180- 65

D= 85

again angle B + C =180

( co-interior angles are supplementary)

B+ 65=180

B=180-65

B= 115

thus, all interior angles are angles A=95°, B=115°, C=65, D = 85°

b) measure of exterior angle of

A = 180- 95 ( linear pair)

= 85°

B = 180- 115

= 65°

C=180- 65

= 115°

D=180 - 85

= 95°