Question

Two vertical angles have measures of 3x and x+50. The x= Select one: a. 25 b. 50 c. 32.5 d. 10

Answer 1

25

Explanation:

Vertical angles are congruent, hence

3x = x + 50 ( subtract x from both sides )

2x = 50 ( divide both sides by 2 )

x = 25 → a

Answer 2

a. 25

Explanation:

Note that the specifically state that they are vertical angles. This means that the two measurements should equal each other. Set the two expressions equal to each other, and isolate the x. Note the equal sign, what you do to one side, you do to the other:

3x = x + 50

Subtract x from both sides to isolate the x:

3x (-x) = x (-x) + 50

3x - x = 50

2x = 50

Isolate the x, divide 2 from both sides:

(2x)/2 = (50)/2

x = 50/2

x = 25

x = 25, or (a) 25 is your answer.

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