Question

PQ is tangent to the circle and m

Answer 1

x = 78°

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°