Question

Ac is tangent to circle O at A. The diagram is not drawn to scale. If m by=52 degrees what is m yac?

Answer 1

Answer:

38

Step-by-step explanation:

38°

<BAY=52°

<YAC+<BAY=90°

<YAC= 38°

Answer 2

ANSWER

A. 38°

EXPLANATION

The tangent, AC to the circle meets the diameter AB to the circle at right angle.

This implies that,

$m \angle BAY + m \angle YAC = 90 \degree$

Substitute the given angle:

$52 \degree + m \angle YAC = 90 \degree$

$m \angle YAC = 90 \degree - 52 \degree$

$m \angle YAC = 38 \degree$