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In circle O, and are diameters. Arc ED measures 17°. What is the measure of ? 107° 180° 253° 270°

User Guleryuz
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1 Answer

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CHECK THE COMPLETE QUESTION AND ITS ATTACHMENT BELOW

circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°

Answer:

Arc EFC = 253°

Explanation:

From the attachment, we know we are dealing with a circle which has

360 degrees.

If we check that attachment we can deduced that we have

Arc EFC

Arc CD

Arc DE

And everything together give us 360,

Arc EFC + Arc CD + Arc DE = 360

It an established rule that the central angle of an intercepted arc is equal to the measure of the arc, then if we check the figure again,

Arc CD is 90 degrees since the central angle is 90 degrees given

Arc DE is 17 degrees

Arc EFC + Arc CD + Arc DE = 360

If we input all the figures

Arc EFC + 90 + 17 = 360

Arc EFC + 107 = 360

Arc EFC = 360 - 107

Arc EFC = 253

Thefore, Arc EFC = 253°

In circle O, and are diameters. Arc ED measures 17°. What is the measure of ? 107° 180° 253° 270°-example-1
User Theo Lenndorff
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7.1k points