Question

Two angles are vertical angles. If one angle measures 3x+14, and the other angle measures 5x, find the measure of each angle.

Answer 1

Both angles are 35°

Explanation:

Vertical angles are when they equal each other so:

3x + 14 = 5x

5x - 3x = 14

2x = 14

x = 7

5x

5(7) = 35

3x + 14

3(7) + 14

21 + 14 = 35

Answer 2

Explanation:

Vertical angles are equal. Thus, 3x + 14 = 5x, and 14 = 2x.

Then x must be 7.

The first angle, 3x + 14, is 3(7) + 14, or 35.

The second, 5x, is 5(7) = 35

As expected, the two angles are equal.