Question

in the figure below, l || m. find x. 130° x° 25° x =

Explanation:

Step1: Find the alternate - interior angle

Since \(l\parallel m\), the alternate - interior angle to the \(130^{\circ}\) angle is also \(130^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let the three angles of the triangle be \(130^{\circ}\), \(x^{\circ}\), and \(25^{\circ}\). So, \(130 + x+25=180\).

Step3: Solve for \(x\)

First, simplify the left - hand side of the equation: \(155 + x=180\). Then, subtract 155 from both sides: \(x=180 - 155\).

Answer:

\(x = 25\)