Question

What is m DHG? D E [6(x - 2) (3x + 30) Enter your answer in the box.

Answer 1

Since, DHG and EHG are opposite vertical angles, then;

DHG = EHG

6(x-2) = 3x + 30

6x - 12 = 3x + 30

collect like term

6x - 3x = 30 + 12

3x = 42

Divide both-side of the equation by 3

x = 14

m DHG = 6(x-2)

=6(14-2)

= 6(12)

=72°