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Given the figure below find the values of x and z.

(ANY IMPROPER ANSWERS WILL BE REPORTED)

Given the figure below find the values of x and z. (ANY IMPROPER ANSWERS WILL BE REPORTED-example-1

2 Answers

4 votes

Answer:

x = 14°

z = 74°

Explanation:

10x - 34° = 106° ( A.I.A )

x = 72°

106° + z = 180° ( linear pair axiom )

z = 74°

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User Marc Pursals
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Answer:

x=14°

z= 74°

Explanation:

Here

(10x-34)°= 106°

since the Vertically Opposite Angle are equal.

so solving for it.

First, we can add 34° to both sides of the equation to get:

10x° - 34°+ 34° = 106° + 34°

Simplifying the left side gives:

10x° = 140°

Then we can divide both sides of the equation by 10 to get:

x = 14°

Again

z+106°=180°

since the sum of angle in the linear pair is equal to 180°

solving for it

we can subtract 106° from both sides of the equation to get:

z + 106° - 106° = 180° - 106°

Simplifying the left side gives:

z = 74°

User Datayja
by
7.0k points