Question

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

• A. 45${}^{\circ }$
• B. 25${}^{\circ }$
• C. 5${}^{\circ }$
• D. 60${}^{\circ }$

Answer 1

The correct option is B 25${}^{\circ }$

Since, the sum of co-interior angles (interior angles on the same side) = 180${}^{\circ }$

=>x + 15${}^{\circ }$ + 6x - 10${}^{\circ }$ = 180${}^{\circ }$

=>7x + 5${}^{\circ }$ = 180${}^{\circ }$

=> 7x = 175${}^{\circ }$

=>x = 25${}^{\circ }$