MATH SOLVE

4 months ago

Q:
# Ac is tangent to circle O at A. The diagram is not drawn to scale. If m by=52 degrees what is m yac?A. 38°B.64°C.78°D.104°

Accepted Solution

A:

ANSWERA. 38°EXPLANATIONThe tangent, AC to the circle meets the diameter AB to the circle at right angle.This implies that,[tex]m \angle BAY + m \angle YAC = 90 \degree[/tex]Substitute the given angle:[tex]52 \degree + m \angle YAC = 90 \degree[/tex][tex]m \angle YAC = 90 \degree - 52 \degree[/tex][tex]m \angle YAC = 38 \degree[/tex]