Question

В АВС угол А=76, внешний угол при вершине В=94, Найдите угол С. Ответ дайте в градусах.

Answer 1

180 - 94 = 86. В треуг. 180 градусов.180 - 86 - 76 = 18.
Ответ: Угол C = 18 градусов.

Answer 2

Problem Statement

You are given a triangle ABC, where angle A is 76 degrees and the external angle at vertex B is 94 degrees. You need to find the measure of angle C in degrees.

Solution

To find the measure of angle C, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Let's denote the measure of angle C as x. We know that angle A is 76 degrees and the external angle at vertex B is 94 degrees. The external angle at vertex B is equal to the sum of angles B and C. Therefore, we can write the following equation:

angle B + angle C = external angle at vertex B

Substituting the given values, we have:

angle B + x = 94 degrees

Since the sum of the angles in a triangle is 180 degrees, we can write another equation:

angle A + angle B + angle C = 180 degrees

Substituting the given values, we have:

76 degrees + angle B + x = 180 degrees

Now we have a system of two equations with two unknowns (angle B and angle C). We can solve this system of equations to find the value of angle C.

Let's solve the system of equations:

From the first equation, we have:

angle B + x = 94 degrees

Simplifying the second equation, we have:

angle B + x = 180 - 76 angle B + x = 104 degrees

Since both equations are equal to angle B + x, we can equate them:

94 degrees = 104 degrees

Subtracting angle B from both sides, we have:

x = 104 degrees - 94 degrees x = 10 degrees

Therefore, the measure of angle C is 10 degrees.

Answer

The measure of angle C in triangle ABC is 10 degrees.