Question

Please help me figure out this:

The sum of two angles formed by the intersection of two lines is 50°. Find the measures of the angles.

Answer 1

The angles are: 25°, 25°, 155° and 155°.

Explanation:

1. By definition, the intersection of two lines forms four angles. Each opposite pairs of them are known as "Vertical angles" and they are congruent, which means than they have the same measure.

2. The sum of the four angles is 360°.

3. If the sum of the two angles is 50°, you can calculate the measure of each one of them by dividing 50° by 2:

`(50degrees)/(2)=25degrees`

4. To find each measure of the other two angles, you must subtract 360° and 50° and divide this by 2:

`(360degrees-50degrees)/(2)=155degrees`