# The Sum of Two Opposite Angles of a Parallelogram is 130°. Find All the Angles of the Parallelogram. - Mathematics

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

#### Solution

$\text{ Let the angles be A, B, C and D }.$

$\text{ It is given that the sum of two opposite angles is } 130°.$

$\therefore \angle A + \angle C = 130°$

$\angle A + \angle A = 130° \left( \text{ opposite angles of a parallelogram are same } \right)$

$\angle A = 65°$

$\text{ and } \angle C = 65°$

$\text{ The sum of adjacent angles of a paralle\logram is } 180° .$

$\angle A + \angle B = 180°$

$65°+ \angle B = 180°$

$\angle B = 180°- 65°$

$\angle B = 115°$

$\angle D = 115°$

$\therefore \angle A = 65°, v\angle B = 115°, \angle C = 65° \text{ and } \angle D = 115° .$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 17 Understanding Shapes-III (Special Types of Quadrilaterals)
Exercise 17.1 | Q 13 | Page 11