# The NK beam divides the swept angle ANB into two angles ANK and KNB.

March 26, 2021 | education

| **The NK beam divides the swept angle ANB into two angles ANK and KNB. Find the degree measure of these angles if the ANK angle is 1.4 times the KNB angle.**

Given: unfolded angle ∠ ANB. The unfolded angle is 180. ∠ ANB = 180.

Beam [NK) divides the swept angle ANB into two angles ∠ ANK and ∠ KNB.

the angle ANK is 1.4 times greater than the angle ∠ KNB.

Find: ∠ ANK =? ∠ KNB =?

Solution: Let x0 be an angle ∠ KNB, then ∠ ANK will be 1.4 x. The sum of the two angles is ∠ ANB, i.e. 180.

Let’s solve the equation and find what the angle ∠ KNB is equal to:

x + 1.4 x = 180

2.4 x = 180

x = 180: 2.4

x = 75

∠ ANK = ∠ ANB – ∠ KNB

∠ ANK = 180-75

∠ ANK = 105.

Answer: ∠ KNB = 75 and ∠ ANK = 105.

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