Question

Find the measure of the red arc or chord in ⊙C. The measure of arc XYZ is a °

Answer 1

The points on the red arc are points A and B

The measure of the red arc is 75 degrees

How to determine the measure of arc XYZ?

From the complete question, we have:

Angle DCE = 75 degrees

By vertical angles theorem,

Angle ACB = Angle DCE = 75 degrees

So, we have:

Angle ACB = 75 degrees

The measure of the red arc is the same as the measure of the angle ACB.

So, we have:

Red arc = 75 degrees

Hence, the measure of the red arc is 75 degrees

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