Question

What value of x makes the vertical parts of the letter N parallel? (4x + 12)°7x° When x = , the alternate interior angles are congruent and the vertical parts of the letter N are parallel.

what is x?

Answer 1

x = 4

Explanation:

We assume that the given expessions represent the measures of the alternate interior angles, so are equal.

... (4x + 12)° = 7x°

... 12 = 3x . . . . . . . divide by degrees, subtract 4x

... 4 = x . . . . . . . . . divide by 3

_____

Then the angles are 7x° = 28° = (4x+12)°.