Question

У трикутнику АВС провели бісектрису ВФ. знайдіть кут С якщо кут А=39, кут АфВ=78

Answer 1

1)рассмотрим треугольник афб
2)так как угол а равен 39 градусам, угол афб равен 78 градусам, то угол абф равен
180-117=63 градуса
3)так как бф биссектриса то угол б равен 126 градусам.
4)так как угол а равен 939 градусам а угол б равен 126 то угол с равен 180-155=25 градусам
Ответ: 25 градусов

Answer 2

Finding the Angle C in Triangle ABC

To find the angle C in triangle ABC, we can use the information given about angles A and AFB. Let's break down the problem step by step.

1. We are given that angle A is 39 degrees. 2. We are also given that angle AFB (which is the angle formed by the bisector BF) is 78 degrees.

To find angle C, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Therefore, we can subtract angles A and AFB from 180 degrees to find angle C.

Let's calculate it:

1. Subtract angle A (39 degrees) from 180 degrees: - 180 degrees - 39 degrees = 141 degrees

2. Subtract angle AFB (78 degrees) from the result of step 1: - 141 degrees - 78 degrees = 63 degrees

Therefore, the measure of angle C in triangle ABC is 63 degrees.

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