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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