Question

If m∠P = 12, find the value of x in this figure?

78


102


39


24

Answer 1

x = 180 - 90 - 12 = 78° (Sum of all angles in a triangle is 180)

Answer: x = 78°

Answer 2

The correct option is 1. The value of x is 78.

Explanation:

Given information: ∠P = 12, PQ is tangent to the circle O at Q.

Radius is always perpendicular to the tangent at the point of tangency. It means ∠Q is a right angle, ∠Q = 90.

According to the angle sum property of triangle, the sum of interior angles of a triangle is 180 degrees.

`\angle P+\angle Q+\angle O=180`

`12+90+x=180`

`102+x=180`

`x=180-102`

`x=78`

The value of x is 78. Therefore the correct option is 1.