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Find the value of the variable and the measure of each labeled angle.

Find the value of the variable and the measure of each labeled angle.-example-1
User Gimmeamilk
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1 Answer

5 votes

Answer:

x = 25

Measure of each angle label is 42°

Explanation:

(x + 17)° and (3x - 33)° are the expressions of the two vertical angles formed by the intersection of two straight lines. Vertical opposite angles are congruent. Therefore:

x + 17 = 3x - 33

Solve for x. Collect like terms

17 + 33 = 3x - x

50 = 2x

Divide both sides by 2

50/2 = 2x/2

25 = x

Measure of the two angles are:

x + 17 = 25 + 17 = 42° (substitution)

3x - 33 = 3(25) - 33 = 75 - 33 = 42°

User Briantuju
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