Question

Зовнiшнiй кут при вершинi рiвнобедреного трикутника=30 градусiв. Знайдiть зовнiшнiй кут при основи цього трикутника.

Answer 1

Ответ:

165°

Объяснение:

Зовнішні кути при основі рівнобедреного трикутника рівні, сума зовнішніх кутів становить 360°.

(360-30):2=165°

Answer 2

Finding the External Angle at the Base of an Isosceles Triangle

To find the external angle at the base of an isosceles triangle, we can use the property that the sum of the measures of the three exterior angles of any triangle is always 360 degrees. Given that the external angle at the vertex of the isosceles triangle is 30 degrees, we can calculate the external angle at the base.

Let's denote the external angle at the base of the isosceles triangle as x.

Using the property mentioned above, we can set up the equation: 30 + x + x = 360

Solving for x: 2x + 30 = 360 2x = 360 - 30 2x = 330 x = 330 / 2 x = 165

Therefore, the external angle at the base of the isosceles triangle is 165 degrees.

This calculation is based on the property of the sum of exterior angles of a triangle being 360 degrees