Corresponding angles

Question

The measure of one angle is five less than seven times a number. The other angle is eight more than seven times a number. are they congruent?

Answer 1

Let x = a number

 

Angle 1 = 7x-5

Angle 2 = 7x+8

 

Congruent angles mean that the angles equal in measure.  Angle 1 and angle 2 do not equal each other in measure.  Therefore, they are NOT congruent.