From the vertex of the unfolded angle MNR, its bisector NB and ray NP are drawn so that BNP

From the vertex of the unfolded angle MNR, its bisector NB and ray NP are drawn so that BNP = 26. What can be the degree measure of the angle MNP?

From the condition of the problem, it is known that from the vertex of the unfolded angle, that is, the angle of the degree measure, which is equal to 180 degrees, a bisector is drawn and a ray that forms an angle with the bisector. To answer the question of the problem, you need to know the value of the angle formed by the bisector.

1) Determine the degree measure of the angle MNB formed by the bisector of the unfolded angle.

180/2 = 90 degrees.

2) Let us calculate what the degree measure of the angle MNP formed by the beam is equal to.

90 – 26 = 64 degrees.

Answer: The degree measure of the MNP angle is 64 degrees.



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