Question

KP− биссектриса угла NKM ; MP = KP, PR = RK , угл M=64∘. Найдите градусную меру угла NRP .

Answer 1

Ответ:128 градусов вроде


Объяснение:

Answer 2

Finding the Angle Measurement

To find the degree measure of angle NRP, we can use the given information and apply relevant geometric principles.

Given: - KP is the bisector of angle NKM - MP = KP - PR = RK - Angle M = 64°

Solution

First, let's denote the measure of angle NKP as x. Since KP is the bisector of angle NKM, we can use the angle bisector theorem to find the measure of angle MKP and NKR.

According to the angle bisector theorem, MP/KP = MR/KR. Since MP = KP and PR = RK, we have MP/KP = 1 and PR/RK = 1. This implies that triangle MPR is an isosceles triangle.

In an isosceles triangle, the angles opposite the equal sides are also equal. Therefore, angle MPR = angle MRP.

Now, we know that angle M = 64°. Since angle MPR = angle MRP, we can conclude that angle MRP = 64°.

Hence, the degree measure of angle NRP is 64°.