Question

What is the value of x 1) 18 2) 22.5 3) 30 4) 54

Answer 1

Answer: x = 30 (choice 3)

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To get this answer, you set the two expressions equal to one another, then you isolate x. Recall that vertical angles are congruent.

x+90 = 4x

x+90-x = 4x-x .... subtract x from both sides

90 = 3x

3x = 90

3x/3 = 90/3 ... divide both sides by 3

x = 30

Now let's check the answer

x+90 = 4x

30+90 = 4*30 ... replace every x with 30

120 = 120

The last equation is true so the answer is confirmed.

Answer 2

30 if the answer.....................
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