If two angles are complement to each other and are equal, then the ang

1.	If two angles are complement to each other and are equal, then the angles are?A) (60°, 60°)B) (89°, 89°)C) (45°, 45°)D) (90°, 90°)
Answer» C) (45°, 45°) Let angles are x° and x°. (\(\because\) Given that both angles are equal) \(\therefore\) x° + x° = 90° (\(\because\) Given angles are complementary to each other) ⇒ 2x° = 90° ⇒ x° = 90°/2 = 45° Hence, required angles are 45° and 45°.

If two angles are complement to each other and are equal, then the angles are?A) (60°, 60°)B) (89°, 89°)C) (45°, 45°)D) (90°, 90°)

Answer»

C) (45°, 45°)

Let angles are x° and x°.

(\(\because\) Given that both angles are equal)

\(\therefore\) x° + x° = 90° (\(\because\) Given angles are complementary to each other)

⇒ 2x° = 90°

⇒ x° = 90°/2 = 45°

Hence, required angles are 45° and 45°.