The sum of adjacent angles of a parallelogram is
(a) 180°
(b) 120°
(c) 360°
(d) 90°

Solution:

We have to find the sum of adjacent angles of a parallelogram.

A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal.

The properties of a parallelogram are

1. The opposite sides are parallel and congruent

2. The opposite angles are congruent

3. The consecutive angles are supplementary

4. If any one of the angles is a right angle, then all the other angles will be at right angle

5. The two diagonals bisect each other

6. Each diagonal bisects the parallelogram into two congruent triangles

7. The Sum of squares of all the sides of a parallelogram is equal to the sum of squares of its diagonals. It is also called parallelogram law.

Therefore, the sum of adjacent angles is 180 degrees.

✦ Try This: The number of sides of a regular polygon where each exterior angle has a measure of 60° is

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 33

The sum of adjacent angles of a parallelogram is (a) 180° (b) 120° (c) 360° (d) 90°

Summary:

The sum of adjacent angles of a parallelogram is 180°.

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