Question

current skill $ show answer (8) request hel -3x + 107 5 5x + 27 1 8 6 4 2 find the measure of angle 5. label optional

Explanation:

Step1: Set up the equation for parallel lines

Since the two vertical lines are parallel, the corresponding angles are equal. So, \(-3x + 107=5x + 27\).

Step2: Solve for \(x\)

Add \(3x\) to both sides: \(107 = 8x+27\).
Subtract \(27\) from both sides: \(80 = 8x\).
Divide both sides by \(8\): \(x = 10\).

Step3: Find the measure of angle \(5\)

Substitute \(x = 10\) into \(-3x + 107\).
\(-3\times10+107=-30 + 107=77\).

Answer:

\(77\)