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

Question

In a parallelogram ABCD, &#x2220; D = 135&#xB0;, determine the measure of &#x2220; A and &#x2220; B .

Philoid · Accepted Answer

Let one of the adjacent angle ∠D = 135°

Therfore other adjacent angle ∠A = x°

Sum of adjacent angles = 180°

∠A =

∠A = ∠C =45° and ∠D = ∠B =135° [Measure of opposite angles of a parallelogram are equal]

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