Q11 of 58 Page 18

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

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]


More from this chapter

All 58 →
9

The measure of one angle of a parallelogram is 70°. What are the measures of the remaining angles?

 10

Two adjacent angles of a parallelogram are as 1 : 2. Find the measures of all the angles of the parallelogram.

 12

ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D.

 13

The sum of two opposite angles of a parallelogram is 130°. Find all the angles of the parallelogram.