# Two Supplementary Angles Differ by 48°. Find the Angles. - Mathematics

Two supplementary angles differ by 48°. Find the angles.

#### Solution

Given that two supplementary angles are differ by 48°

Let the angle measured is x°

∴ Its supplementary angle will be (180 - x

It is given that

(180 - x) - x = 98°

⇒ 180 - 48° = 2x

⇒ 132 = 2x

⇒ x = 132/2

⇒ x = 66°

Hence, 180 - x = 114°

Therefore, angles are 66° and 114°

Concept: Pairs of Angles
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.1 | Q 6 | Page 7