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Rashid [163]
3 years ago
13

Find the value of x, y, and z.

Mathematics
1 answer:
egoroff_w [7]3 years ago
8 0

Answer:

x = 61°

y = 61°

z = 58°

Step-by-step explanation:

In the given triangle, measures of two sides are equal. So, measures of angles opposite to them are also equal.

Therefore,

x + x + 58 \degree = 180 \degree \\  \\ 2x = 180 \degree - 58 \degree \\  \\ 2x = 122 \degree \\  \\ x =  \frac{122 \degree}{2}  \\  \\ x = 61\degree  \\  \\ y = 61\degree  \\  ( \angle s \: in \: the \: alternate \: segment) \\ \\ z = 58\degree  \\  ( \angle s \: in \: the \: alternate \: segment) \\

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