Question

Найдите углы MKC,если:MK-медиана равноб-го OKM(OM-основание) угол OKM=84,угол O=48,если можно с рисунком,заранее спасибо)

Answer 1

Угол С=90(медиана) угол О=48
УголК=180-90-48=42
МКС
сама дальше додумай

Answer 2

Finding the angles MKC

To find the angles MKC, we need to use the given information about the triangle OKM. Let's break down the information step by step:

1. We are given that MK is the median of triangle OKM. A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side. In this case, MK connects vertex K to the midpoint of side OM.

2. We are also given that angle OKM is equal to 84 degrees. This means that angle OKM is an angle in triangle OKM.

3. Finally, we are given that angle O is equal to 48 degrees. This is an angle at vertex O in triangle OKM.

To find the angles MKC, we need to use the properties of medians in a triangle. One important property is that a median divides the opposite side into two equal segments. In this case, MK divides side OM into two equal segments.

Let's denote the point where MK intersects side OM as point P. Since MK is the median, we know that MP = PK.

Now, let's consider triangle MKC. We know that MK is the median, so it divides side OC into two equal segments. Let's denote the point where MK intersects side OC as point Q. Therefore, MQ = QK.

Since MP = PK and MQ = QK, we can conclude that triangle MPQ is an isosceles triangle. In an isosceles triangle, the base angles are equal.

Therefore, angle MKC is equal to angle MPQ. Similarly, angle MCK is equal to angle MQP.

To find the values of angles MKC and MCK, we need to find the value of angle MPQ. We can do this by subtracting the given angles from 180 degrees, as the sum of the angles in a triangle is always 180 degrees.

Let's calculate the value of angle MPQ:

180 degrees - angle OKM - angle O = 180 degrees - 84 degrees - 48 degrees = 48 degrees.

Therefore, angle MPQ (and consequently, angles MKC and MCK) is equal to 48 degrees.

So, the angles MKC and MCK are both equal to 48 degrees.

I apologize for not being able to provide a diagram in this text-based format. However, you can refer to the source mentioned above for a visual representation of the problem.