The NK beam divides the deployed angle ANB into two angles ANK and KNB. Find the degree measure of these

The NK beam divides the deployed angle ANB into two angles ANK and KNB. Find the degree measure of these angles if the angle АNК is 1.4 times greater than the angle КNВ.

The degree measure of the unfolded angle is 180 °.

If you designate the angle KNB as x, then the angle ANK can be written as 1.4x.

Let’s make the equation:

x + 1.4x = 180

2.4x = 180

x = 75

We found the KNB corner. Angle ANK is 1.4 times larger than KNB, so it is equal to:

1.4 * 75 = 105

Answer: ANK angle = 105o, and KNB angle = 75o