Question

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

Answer 1

\[\text{ In a parallelogram, opposite angles have the same value }. \]
\[ \therefore \angle D = \angle B\]
\[ = 135°\] 
\[\text{ Also }, \angle A + \angle B + \angle C + \angle D = 360°\]
\[\angle A + \angle D = 180° \left( \text{ Popposite angles have the same value }\right)\]
\[\angle A = 180°- 135° = 45°\] 
\[\angle A = 45°\]