Answer:
x = 78°
Step-by-step explanation:
m<P = 12°
Since PQ is tangent to the circle at point Q, therefore m<Q = 90° (tangent theorem)
x + m<P + m<Q = 180° (sum of triangle theorem)
Substitute
x + 12° + 90° = 180°
x + 102° = 180°
Subtract 102° from each side
x = 180° - 102°
x = 78°
