Question

In the adjoining figure, TS is a tangent to a circle with centre O. The value of 2x° is ______.

विकल्प

• 22.5

• 45

• 67.5

• 90

Answer 1

In the adjoining figure, TS is a tangent to a circle with centre O. The value of 2x° is 45.

Explanation:

TS is a tangent to the circle at point S.

∠OST = x°

∠OSS = 3x° (since OS is the radius and meets the tangent at 90°).

We need to find the value of 2x°.

In ΔOST

∠OST + ∠OTS + ∠TOS = 180°

3x + x + 90 = 180

4x + 90 = 180

4x = 90

x = `90/4`

x = 22.5°

2x = 2 × 22.5

= 45°