Question

What is the value of x?

Answer 1

Explanation:

Corresponding angles are congruent

x² - 72 = 6x

x² - 6x - 72 = 0

Sum = -6

Product = -72

Factor = -12 , 6 {-12*6 = -72 & -12 +6 = -6}

x² + 6x - 12x -72 = 0

x(x + 6) - 12(x + 6) = 0

(x + 6)(x -12)=0 {Ignore x + 6 = 0 because angles won't be in negative}

x - 12 = 0

x = 12