Question

Один из углов равнобедренного равен 130 градусов . найдите остальные углы.

Answer 1

В равнобедренном Δ углы при основонии равны, поэтому они равны по 25°

Answer 2

Finding the Other Angles of an Isosceles Triangle

To find the other angles of an isosceles triangle when one angle is given, we need to consider the properties of triangles.

In an isosceles triangle, two angles are equal, and the sum of all three angles is always 180 degrees.

Let's say one of the angles in the isosceles triangle is 130 degrees. We can find the other angles using the following steps:

1. Subtract the given angle from 180 degrees to find the sum of the other two angles: 180 - 130 = 50 degrees.

2. Divide the sum of the other two angles by 2 to find the measure of each of those angles: 50 / 2 = 25 degrees.

Therefore, the other two angles of the isosceles triangle are both 25 degrees.

To summarize, in an isosceles triangle where one angle is 130 degrees, the other two angles are both 25 degrees.

Mathematical Representation:

Let's represent the angles of the isosceles triangle as follows:

- Angle A = 130 degrees (given) - Angle B = 25 degrees - Angle C = 25 degrees

The sum of all three angles is 180 degrees: 130 + 25 + 25 = 180 degrees.

Therefore, the angles of the isosceles triangle are A = 130 degrees, B = 25 degrees, and C = 25 degrees.

I hope this helps! Let me know if you have any further questions.