Question

unit 4 triangle properties test
a local cable company is running cable to new homes.
what is the measure of angle x?

Explanation:

Step1: Use the exterior angle property of a triangle

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Here, \(109^{\circ}\) is an exterior angle of the triangle formed by the two cables. Let the non - adjacent interior angles be \(34^{\circ}\) and \(x\). So, \(109^{\circ}=34^{\circ}+x\).

Step2: Solve for \(x\)

Subtract \(34^{\circ}\) from both sides of the equation \(109 = 34+x\). We get \(x=109 - 34\).

Answer:

\(x = 75^{\circ}\)