Given: the measure of arc ey = the measure of arc yi, m∠exy = 80°, and m∠k = 25°.

find: the measure of arc ei.

me with a problem from my geometry homework as soon as possible you so !

kyle.

Let . By the inscribed angle theorem, we have

Then

Also by the inscribed angle theorem, we have

so that

Angles EXY and LXJ form a vertical pair so they are congruent and both have measure .

The sum of the interior angles to any quadrilateral is , so for quadrilateral KLXJ we get

So,

b

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