Question

in the figure below, line m and line n are parallel. answer the following questions.
a) what are the angle pairs?
supplementary angles
corresponding angles
vertical angles
same - side interior angles
alternate exterior angles
alternate interior angles
b) find the value of x.
25

Explanation:

Step1: Identify angle pairs

The angle pairs are Alternate Interior Angles.

Step2: Set up equation

Since Alternate Interior Angles are equal, we have \(65 - x=2x - 10\).

Step3: Solve for \(x\)

Add \(x\) to both sides: \(65=3x - 10\).
Add \(10\) to both sides: \(75 = 3x\).
Divide both sides by \(3\): \(x = 25\).

Answer:

a) Alternate Interior Angles
b) \(x = 25\)