Question

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Q1. What is the value of x? Enter your answer in the box.


Q2. What is m∠DHG? Enter your answer in the box.

Answer 1

Answer:

The answer to your question is:

Step-by-step explanation:

Q1. They are vertical angles, so they measure the same

                         

                           [2(x + 10)] = (3x - 30)

                           2x + 20 = 3x -30

                           2x - 3x = -30 - 20

                           - x = - 50

                             x = 50

Q2. They are also vertical angles, so they measure the same.

                          [6(x - 2)] = 3x + 30

                           6x - 12 = 3x + 30

                           6x - 3x = 30 + 12

                           3x = 42

                           x = 42/3

                           x = 14

∠DHG = 6(14 - 2)

∠DHG = 6(12)

∠DHG = 72