Question

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

Answer 1

Step-by-step explanation:

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Answer 2

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

Let the measure of the angle be x°.  

Since, angles are complementary. Two angles, the sum of whose measures is 90°, are called complementary angles :  

∴ (2x - 10)° + (x - 5)°= 90°

⇒ 2x + x - 10° - 5° = 90°

⇒3x - 15° = 90°

⇒ 3x = 90° + 15°

⇒ 3x = 105°

⇒ x = 105°/3

⇒ x = 35°

Hence,  the value of x is 35°.

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