Question

In a parallelpgram ABCD, ∠D=135°, determine the measures of ∠A and ∠B.

Answer 1

Answer:

In a parallelogram, opposite angles are equal. Hence, angle B = 135°.

Angle sum property of quadrilateral says that the sum of all angles = 360°.

Hence, angle A = [360-(2*135)]/2

= [360 - 270]/2

= 90/2

= 45°

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