Question

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

Explanation:

Step1: Find the interior - angle adjacent to 141°

The adjacent - interior angle to 141° forms a linear pair. So, it is 180° - 141° = 39°.

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let the third angle of the triangle be y. We know one angle of the triangle is 96° and another is 39°. So, y=180°-(96° + 39°)=45°.

Step3: Find the value of x

Since l || m, x and y are alternate - interior angles. Alternate - interior angles are equal when two parallel lines are cut by a transversal. So, x = 45°.

Answer:

45