Question

Given mn, find the value of x.
(7x-7)°
(6x+11)°

Answer 1

x = 18

Explanation:

the 2 angles are alternate exterior angles and are congruent, then

7x - 7 = 6x + 11 ( subtract 6x from both sides )

x - 7 = 11 ( add 7 to both sides )

x = 18

Answer 2

18

Explanation:

(7x-7)° = (6x+11)°------ (alternate exterior angles are equal)

Alternate exterior angles are the pair of angles that are located on the outer side of the parallel lines but on either side of the transversal.

therefore,

7x-7= 6x+11

collect like terms

7x-6x = 11+7

x = 18