Question

suppose that Angle Hik and Angle LIJ are verticle angles. find their measures if the following conditions apply. Question 2...​

Answer 1

Answers:

• x = 8
• angle HIK = 42 degrees
• angle LIJ = 42 degrees

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Step-by-step explanation:

Vertical angles are always congruent.

Set the two expressions equal to one another and solve for x.

6x - 6 = 3(x+6)

6x - 6 = 3x + 18

6x - 3x = 18 + 6

3x = 24

x = 24/3

x = 8

Then use this x value to find each angle

• angle HIK = 6x - 6 = 6*8 - 6 = 42
• angle LIJ = 3(x+6) = 3*(8+6) = 42

Both angles are 42 degrees each to confirm the answer.