An angle whose degree measure is 150 ° is divided into 2 angles in a ratio of 3: 5.

An angle whose degree measure is 150 ° is divided into 2 angles in a ratio of 3: 5. Find the degree measure for each angle.

Answer: the degree measures of the angles are 56.25 ° and 93.75 °.

The ratio of one inner angle to another 3/5 means that the entire angle by a degree measure of 150 ° is conventionally divided into 8 parts, three of which are at a smaller angle, and 5 parts at a larger angle.

Let’s calculate the degree measure of one part:

150 ° / 8 = 18.75 °.

Determine the degree measure of the first angle:

18.75 ° * 3 = 56.25 °.

Find the degree measure of the second angle:

18.75 ° * 5 = 93.75 °.

We check:

56.25 ° + 93.75 ° = 150 °.