# If the Angles (2x −10)° and (X − 5)° Are Complementary Angles, Find X. - Mathematics

If the angles (2x −10)° and (x − 5)° are complementary angles, find x.

#### Solution

Given that,

(2x -10)° and ( x - 5)° are complementary angles.

Let x be the measured angle.

Since the angles are complementary

∴ Their sum will be 90°

⇒ (2x -10) + ( x - 5) = 90°

⇒ 3x -15 = 90

⇒ 3x = 90° +15°

⇒ x = (105°)/3 = (105°)/3 = 35°

⇒ x = 35°

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 8 | Page 7