Assume line m and line n are parallel lines cut by the transversal line l. Fin

Question

Assume line m and line n are parallel lines cut by the transversal line l. Find the value of x.

Options:

A . 45∘

B . 25∘

C . 5∘

D . 60∘

Answer: Option B
:
B
Since, the sum of co-interior angles (interior angles on the same side) = 180

^{\circ}

\Rightarrow

x + 15

^{\circ}

+ 6x - 10

^{\circ}

=180

^{\circ}

\Rightarrow

7x + 5

^{\circ}

= 180

^{\circ}

\Rightarrow

7x = 175

^{\circ}

\Rightarrow

x = 25

^{\circ}

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