Find the value of x, y, and z. degrees, y = type your answer... degrees, z = type your answer... Degree =

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Popeye asked Aug 15, 2022

500,211 views

14 votes

Find the value of x, y, and z.

degrees, y =
type your answer...
degrees, z =
type your answer...
Degree =

Find the value of x, y, and z. degrees, y = type your answer... degrees, z = type-example-1

Mathematics
high-school

Popeye asked Aug 15, 2022

by Popeye

2.8k points

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1 Answer

15 votes

Answer:

x = 61°

y = 61°

z = 58°

Explanation:

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

Therefore,

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