# 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°.

**☛ Related Questions:**

- The angle between the two altitudes of a parallelogram through the same vertex of an obtuse angle of . . . .
- In the given figure, ABCD and BDCE are parallelograms with common base DC. If BC ⊥ BD, then ∠BEC = ( . . . .
- Length of one of the diagonals of a rectangle whose sides are 10 cm and 24 cm is (a) 25 cm (b) 20 cm . . . .

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