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1. DC is tangent to circle O at C. If ABC = 59◦ , BAC = 60◦ , and BCA = 61◦ , then what is the measure of ACD?

2. ABC is inscribed in circle O. We know ∠AOB = 110◦ , ∠AOC = 120◦. Find the measure of BAC.

3.  As shown in the diagram, NM is the median of trapezoid ABCD and PQ is the median of trapezoid ABMN. We know AB = 5 and DC = 17. Find PQ.

 Mar 6, 2021
 #1
avatar+75 
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1) ACD = 60 degrees

 Mar 6, 2021
 #2
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Nope, angle ACD = 59 degrees.

 

2/     Angle BAC = 1/2[(180 - 110) +(180 - 120)]

 

3/    NM = 1/2(5 + 17) = 11        PQ = 1/2(5 + 11)

Dragan  Mar 7, 2021
edited by Guest  Mar 7, 2021

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