Question

find the measure of each marked angle. assume the lines are parallel. (2x - 36)° (x + 1)° (x + 1)° = ° simplify your answer. (type an integer or a fraction.)

Explanation:

Step1: Use property of parallel - lines

Since the two lines are parallel, the marked angles are equal. So we set up the equation \(2x - 36=x + 14\).

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides: \(2x-x-36=x - x+14\), which simplifies to \(x - 36=14\). Then add 36 to both sides: \(x=14 + 36\), so \(x = 50\).

Step3: Find the measure of the angle

Substitute \(x = 50\) into either expression for the angle. Using \(x + 14\), we get \(50+14=64\).

Answer:

\(64\)