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serious [3.7K]
2 years ago
8

I just need someone to explain please

Mathematics
1 answer:
slava [35]2 years ago
5 0
<h3><u>Given</u><u>:</u></h3>

line m || line n

<h3><u>To</u><u> </u><u>Find</u><u>:</u></h3>

The value of x.

<h3><u>Alternate</u><u> </u><u>Interior</u><u> Angles</u><u>:</u></h3>

The angles formed when a transversal intersects two parallel lines ( m and n ).

<h3><u>Explan</u><u>ation</u><u>:</u></h3>

6x + 10° = 5x + 28° ( Alternate Interior Angles )

By transposition method, we get

6x - 5x = 28° - 10°

By simplifying the like terms, we get

x = 18°

<h2><u>Answer</u><u>:</u></h2>

The value of x is 18°.

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