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5 votes
What is the value of Z?
A:77
B:95
C:126
D:154

What is the value of Z? A:77 B:95 C:126 D:154-example-1
User Glm
by
8.8k points

2 Answers

5 votes

Answer:

The answer is b (126)

Explanation:


User Ichbinblau
by
8.2k points
3 votes

Answer:

The correct option is C.

Explanation:

According to the central angle theorem, the angle inscribed on the circle is half of its central angle.


\angle ABC=(\angle AOC)/(2)


85=(\angle AOC)/(2)


85* 2=\angle AOC


170=\angle AOC

The measure of angle AOC is 170°.

The length of arc BC is 64°, so ∠BOC=64°.

The sum of all central angle is 360°.


\angle AOC+\angle BOC+\angle AOB=360


170+64+\angle AOB=360


234+\angle AOB=360


\angle AOB=360-234


\angle AOB=126

The measure of angle AOB is 126°. Therefore the value of Z is 126 and option C is correct.

What is the value of Z? A:77 B:95 C:126 D:154-example-1
User Jeffery Thomas
by
8.3k points

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