Question

In the following figure, POR is a line. The value of a is ______.

विकल्प

• 40°

• 45°

• 55°

• 60°

Answer 1

In the following figure, POR is a line. The value of a is 40°.

Explanation:

We know that, when the sum of the measures of two angles is 180°, then the angles are called supplementary angles.

⇒ (3a + 5)° + (2a – 25)° = 180°

⇒ 3a + 5 + 2a – 25° = 180°

⇒ 5a – 20° = 180°

⇒ 5a = 180° + 20°

⇒ 5a = 200°

⇒ a = `200^circ/5`

⇒ a = 40°