The AC beam divides the deployed angle of the MAC into two angles MAC and KAC.

The AC beam divides the deployed angle of the MAC into two angles MAC and KAC. find the degree measure of these angles if the KAC angle is 2.6 times less than the MAC angle

1. Suppose the angle KAС formed by the side of the unfolded angle AK and the beam AC is equal to x degrees.

2. Then the adjacent angle MAC formed by the other side of the AM and the beam AC is x * 2.6 = 2.6x degrees.

3. Let’s make an equation and determine the degree measure of the angle KAС.

x + 2.6x = 180;

3.6x = 180;

x = 180 / 3.6 = 50 °.

Answer: The KAS angle is x = 50 °, the MAC angle is x * 2.6 = 50 * 2.6 = 130 °.