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What is the measure of XYZ?

What is the measure of XYZ?-example-1
User ViggoTW
by
8.0k points

2 Answers

4 votes

It’s 54 you add them both then divided by two so 75+33=108 then divided it by 2 it’s 54

User Tunecrew
by
7.5k points
4 votes

Answer:

The answer is the option B


54\°

Explanation:

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite

in this problem

∠XYZ is the interior angle

∠XYZ=
(1)/(2)( arc\ XZ+arc\ VW)

we have


arc\ XZ=75\°


arc\ VW=33\°

Substitute the values

∠XYZ=
(1)/(2)( 75\°+33\°)

∠XYZ=
54\°

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