Question

en la figura mostrada a continuación, l || m. hallar x. 45° 96° x° x =

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. Let the third - angle of the triangle be \(y\). So, \(y+45^{\circ}+96^{\circ}=180^{\circ}\).

$$y = 180^{\circ}-(45^{\circ}+96^{\circ})=180^{\circ}-141^{\circ}=39^{\circ}$$

Step2: Use the property of parallel lines

Since \(l\parallel m\), the angle \(x\) and the angle \(y\) are alternate - interior angles. Alternate - interior angles formed by two parallel lines and a transversal are equal. So \(x = y\).

Answer:

\(x = 39\)