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.
[tex]\angle P+\angle Q+\angle O=180[/tex]
[tex]12+90+x=180[/tex]
[tex]102+x=180[/tex]
[tex]x=180-102[/tex]
[tex]x=78[/tex]
The value of x is 78. Therefore the correct option is 1.
