An angle of 153 ° is divided into two angles, one of which is 17 ° smaller than the other.

An angle of 153 ° is divided into two angles, one of which is 17 ° smaller than the other. What is the degree measure of the smaller angle?

An angle is given equal to 153 ° and it is known that it is divided into the left of the angle, where one is less than the other by 17 °. Find out how many degrees the smaller angle is:

Let the first angle be x °, then

The second angle is (x – 17) °.

Let’s make the equation:

x + x – 17 = 153;

2 × x – 17 = 153;

2 x x = 153 + 17;

2 x x = 170;

x = 170: 2;

x = 85 ° is the first angle.

85 – 17 = 68 ° is the second angle.

Therefore, the degree measure of the smaller angle is 68 °.

Answer: The smaller angle is 68 °.