Question

AC is tangent to circle B. The measure of ZACB is 58°.

What is the measure of ZABC?
Enter your answer in the box.
m/ABC=

Answer 1

The measure of angle ABC is 122°.

To find the measure of angle ABC, we need to use the fact that a tangent line is perpendicular to the radius of the circle at the point of tangency.

So angle ACB is a right angle (90°) because the line AC is tangent to the circle at point C.

Since the sum of angles in a triangle is 180°, we can subtract the given angle ACB (58°) from 180° to find the measure of angle ABC.

So angle ABC = 180° - 58° = 122°.

Therefore, the measure of angle ABC is 122°.