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1) What is the measure of ∠x for the quadrilateral inscribed in a circle?

A)27°

B)28°

C)62°

D)63°

 

2) What is the measure of ∠y for the quadrilateral inscribed in a circle?

A)28°

B)62°

C)63°

D)118°

 Mar 22, 2019
 #1
avatar+897 
+2

You may or may not what this is, it's a cyclic quadrilateral.

A cyclic quadrilateral is a quadrilateral that can be inscribed in a circle where all four vertices are tangent to the circle.

Also, opposite angles of a cyclic quadrilateral always add up to 180 degrees.

 

1) We know 117 is the opposite angle, and the angles add to 180, so what is the missing? Pretty simple.

2) Same thing - 62 is the opposite angle, and the angles add to 180, so what is the missing?

 

You are very welcome!

:P

 Mar 22, 2019
edited by CoolStuffYT  Mar 22, 2019

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