An angle of 156 degrees was divided into two angles so that one of them

An angle of 156 degrees was divided into two angles so that one of them was 5 times larger than the other. Determine the size of the resulting angles.

1) Determine the degree measure of the first angle if we know that the second angle is 5 times larger, and the sum of the two angles is 156 °. We draw up an equation where:

X – degrees is the first angle;

5X – degrees second angle;

156 is the sum of degrees.

X + 5X = 156;

6X = 156;

X = 156/6;

X = 26 °.

2) Let’s find out what is the degree measure of the second angle, if we know that it is 5 times larger than the first angle, and we learned that the first angle has 26 °.

26 * 5 = 130 °.

Answer: The first angle is 26 ° and the second angle is 130 °.