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

Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees.

What is the measure of Arc E B C?

Respuesta :

Answer:

220

Step-by-step explanation:

The required measure of the Arc EBC is 220°.  

In circle O, and are diameters. The measure of arc DC is 50°. circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees. what is the measure of Arc E B C is to be determined.

What is the angle?

The angle can be defined as the one line inclined over another line.

Here, AC and EB are the diameters of the circle and the measure of arc DC is 50. Since Angle BOD is 90 and C lies between EC so the correct order of points is EDCBA in a clockwise manner, As EB is diameter and BOD is 90 and BOC is 40
The measure of EBC = EB + (BD - DC )  

                                    = 180 + 90 - 50
                                    =  220°

Thus, the required measure of the Arc EBC is 220°.  

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ5