Question

AE and DC are diameters of the circle, Arc ED measures 17 degrees
what is arc EFC?

Answer 1

253°

Explanation:

You want to know the measure of arc EFC, given that short arc EDC is 17° more than 90°.

Sum of arcs

The measure of arc CD is the measure of its central angle, 90°.

The sum of the arcs of a circle is 360°, so we have ...

arc EFC +arc CD +arc DE = 360°

arc EFC = 360° -90° -17° = 253°

The measure of arc EFC is 253°.

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