Question

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

• A. 45^o
• B. 25^o
• C. 5^o
• D. 60 ^o

Answer 1

The correct option is B

25^o

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${}^{\circ }$