Question

Из вершины прямого угла АВС проведены лучи ВМ и ВК ,так что угол АВК =76,МВС=65 найти МВК?

Answer 1

Если угол В=90°. Находим угол КВС=90-76=14, потом угол АМВ=90-65=25. И потом угол МВК=90-25-14=51°

Answer 2

90°-(76°-65°)=79° изи, если я правильно рисунок понял

Answer 3

Problem Analysis

We are given a right triangle ABC, and rays VM and VK are drawn from the vertex of the right angle. We are also given that angle AVK is 76 degrees and angle MVS is 65 degrees. We need to find the measure of angle MVK.

Solution

To find the measure of angle MVK, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since angle AVK is 76 degrees and angle MVS is 65 degrees, we can find the measure of angle MVK by subtracting the sum of these two angles from 180 degrees.

Let's calculate the measure of angle MVK step by step:

1. Calculate the sum of angles AVK and MVS: - angle AVK = 76 degrees - angle MVS = 65 degrees - sum of angles AVK and MVS = 76 + 65 = 141 degrees

2. Subtract the sum of angles AVK and MVS from 180 degrees to find the measure of angle MVK: - angle MVK = 180 - 141 = 39 degrees

Therefore, the measure of angle MVK is 39 degrees.

Answer

The measure of angle MVK is 39 degrees.