Question

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

Answer 1

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

Answer: x = 78°

Answer 2

Answer:

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

Step-by-step 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.