Question

What is the value of x? x = 2.25 x = 11.25 x = 13 x = 22?

Answer 1

Answer:

the answer to this question is D

Answer 2

Three of given lines form a triangle with measures of two interior angles $79^{\circ}$ and $(2x+10)^{\circ}.$

The angle with measure $(6x+1)^{\circ}$ is exterior angle of considered triangle.

The measure of exterior angle of triangle is equal to the sum of the measures of two not adjacent interior angles:

$6x+1=2x+10+79,\\ \\6x+1=2x+89,\\ \\6x-2x=89-1,\\ \\4x=88,\\ \\x=22^{\circ}.$

Answer: correct choice is D