In circle O, AC and BE are diameters. The measure of arc DC is 50°. What is the measure of EBC?

Solution:

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) in the plane.

The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

It is given that

In the circle O is the center

AC and BE are the diameters

Measure of arc DC = 50°

We have to find the measure of EBC

We know that right angles measure 90°

So the measure of EBC = 180° + 40° = 220°

Therefore, the measure of EBC is 220°.

In circle O, AC and BE are diameters. The measure of arc DC is 50°. What is the measure of EBC?

Summary:

In circle O, AC and BE are diameters. The measure of arc DC is 50°. The measure of EBC is 220°.