Question

guided practice find the measure of the vertical angles. (3x + 8)° (5x - 20)° a. 20° b. 50° c. 6° d. 14° proving angles congruent

Explanation:

Step1: Recall vertical angles property

Vertical angles are congruent, so set \(3x + 8 = 5x - 20\).

Step2: Solve for \(x\)

Subtract \(3x\) from both sides: \(8 = 2x - 20\).
Add 20 to both sides: \(28 = 2x\).
Divide by 2: \(x = 14\).

Step3: Find angle measure

Substitute \(x = 14\) into \(3x + 8\): \(3(14) + 8 = 42 + 8 = 50\).
(Or into \(5x - 20\): \(5(14) - 20 = 70 - 20 = 50\).)

Answer:

B. 50°