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 BC are the transversal

Now, Angle A+D = 180° ( co-interior angles are supplementary)

=> 95° + D = 180°

=> D = 180°–95°

=> 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 Angle 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°