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If y=12 and x=89, then what is the value of z?

If y=12 and x=89, then what is the value of z?-example-1

1 Answer

4 votes

Answer:

z = 166°

Explanation:

Given:

x = 89

y = 12

An angle with its vertex in a circle = ½(intercepted arcs)

Thus:

x = ½(y + z)

Substitute

89 = ½(12 + z)

Multiply both sides by 2

2(89) = 12 + z

178 = 12 + z

178 - 12 = z

z = 166°

User Kera
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