Question

solve for x, then find the angle measurement
type of angle pair
these angles are congruent / supplementary
equation
x =
angle measurement =

Explanation:

Step1: Identify the angle - pair relationship

The angles are supplementary since they form a linear - pair (adjacent angles on a straight line). The sum of supplementary angles is 180°. So the equation is \((x + 139)+132=180\).

Step2: Simplify the left - hand side of the equation

First, combine like terms: \(x+(139 + 132)=180\), which gives \(x + 271=180\).

Step3: Solve for x

Subtract 271 from both sides of the equation: \(x=180 - 271\), so \(x=-91\).

Step4: Find the angle measurement

Substitute \(x=-91\) into the expression \(x + 139\). The angle measurement is \(-91+139 = 48^{\circ}\).

Answer:

Type of angle pair: supplementary
Equation: \((x + 139)+132=180\)
\(x=-91\)
Angle Measurement: \(48^{\circ}\)