For what value of x is line m parallel to line n? Enter your answer in the box.

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20-12-2017
Mathematics

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For what value of x is line m parallel to line n? Enter your answer in the box.

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kudzordzifrancis kudzordzifrancis · Answer 1 · 2018-12-08T17:22:01+01:00

ANSWER

[tex]x = 20 \degree[/tex]

EXPLANATION

Since the line m and line n are parallel, we use the corresponding angle property to obtain the equation,

[tex](3x+5) \degree = 65 \degree[/tex]

Remember the F-pattern of the corresponding angles.

We now group like terms to obtain,

[tex]3x = 65 - 5[/tex]

We simplify the right hand side to get,

[tex]3x = 60 \degree[/tex]

We now divide both sides of the equation by 3 to obtain,

[tex]x = \frac{60}{3} [/tex]

This finally simplifies to,

[tex]x = 20 \degree[/tex]