Question

line AE and line DF are parallel. If m∠ABG = 12x and m∠HCF = 11x + 9, what is m∠HCF?

Answer 1

Solution

Given

m∠ABG = 12x and

m∠HCF = 11x + 9

m

m

Thus

11x + 9 = 12x

12x -11x = 9

x = 9

But < HCF = 11x + 9

= 11(9) + 9

=99 + 9

=108

The answer is 108 degrees