Question

В треугольнике ABC внешний угол при вершине A равен 123 градуса , а внешний угол при вершине B равен 63 градуса . Найдите угол С треугольника ABC . Ответ дайте в градусах

Answer 1

Если внешний угол А 123, то внутренний 180-123=57,
а внутренний угол В 180- 63=117 
117+57=174 
угол С 180-174=6

Answer 2

Finding the Angle C in Triangle ABC

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

Given that the external angle at vertex A is 123 degrees and the external angle at vertex B is 63 degrees, we can find the internal angle at vertex C by subtracting the sum of these two external angles from 180 degrees.

Let's calculate it step by step:

1. Sum of the external angles at vertices A and B: - External angle at vertex A = 123 degrees - External angle at vertex B = 63 degrees - Sum of the external angles = 123 degrees + 63 degrees = 186 degrees

2. Finding the internal angle at vertex C: - Sum of the internal angles in a triangle = 180 degrees - Internal angle at vertex C = 180 degrees - Sum of the external angles = 180 degrees - 186 degrees = -6 degrees

However, it is not possible for an angle in a triangle to be negative.

Based on the information provided, it seems that there might be an error or inconsistency in the given values. Please double-check the values or provide additional information if available.

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