Find the angles obtained at the intersection of two straight lines if one of the angles is 74 °.

In order to find the degree measure of the angles that are formed at the intersection of two straight lines, if we know that one of the angles is 74 °, we will start by recalling which angles are formed at the intersection.

Two types of corners are formed:

1. Vertical angles – they have the same degree measure.

2. Adjacent angles – their sum is 180 °.

Let’s define x ° as the degree measure of the adjacent 74 ° angle.

We get the equation:

x + 74 = 180;

x = 180 – 74;

x = 106 °.

Answer: one pair of angles at 74 ° and the second at 106 °.