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Find the maesure of the arc or the angle indicated

Find the maesure of the arc or the angle indicated-example-1
User Barb
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1 Answer

4 votes

Answer:

56 degrees

Step-by-step explanation:

The given diagram is a cyclic quadilateral

From the diagram;

m(angle in the same segment in a cyclic quadilateral are equal.

Hence m

Also, the triangle in the semicircle of a cyclic quadilateral is right angle. Hence triangle WYX is a rirght triangle and m

Since the sum of angle in a triangle is 180 degrees, then;

mSubstitute the given angles;

34 + 90 + m124 + mmmHence the measure of the arc is 56 degrees

User AlexUA
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