Question

ABCD is a trapaezium and AB||CD. If Angle A= Angle B= 45 degrees. Find the measures of Angle C and Angle D.

Answer 1

angle C=125 and angle D=125.

Answer 2

Given, AB parallel to CD and angle A=B=45°

ABCD is a trapaezium,

Angle A + C = 180°. [ co- interior angle]

Angle B+ D. = 180°. [ co-interior angle]

So,

45°+angle C = 180°

Angle C= 180-45
= 135°

45°+ angle D = 180°

Angle D = 180-45
= 135°

Since, angle C= angle D = 135°. Ans