Question

Помогите пожалуйста решить с рисунком !!!))). Знайдіть кути при основі рівнобедреного трикутника, якщо кут при вершині дорівнює 80°.​

Answer 1

Відповідь:

50

Пояснення:

дивись, сума всіх кутів 180 градусів

В рівнобедреного трикутника кути при основі рівні

Якщо кут при вершині 80 тоді ми 180-80=100 і ділимо на 2

100÷2=50

Answer 2

Finding the Angles of an Isosceles Triangle

To find the angles at the base of an isosceles triangle when the angle at the vertex is 80°, we can use the properties of isosceles triangles.

An isosceles triangle has two equal sides and two equal angles. In this case, the angle at the vertex is 80°, and the other two angles at the base are equal to each other.

Solution:

We can find the angles at the base of the isosceles triangle using the following steps:

1. Find the measure of the base angles: - Since the triangle is isosceles, the base angles are equal to each other. - To find the measure of each base angle, we can use the property that the sum of the angles in a triangle is 180°. - Let's denote the measure of each base angle as x.

2. Apply the property of isosceles triangles: - In an isosceles triangle, the base angles are equal. - Therefore, we can set up an equation where the sum of the base angles is equal to the measure of the third angle (in this case, the vertex angle, which is 80°).

3. Calculate the angles: - Using the equation from step 2, we can solve for the measure of each base angle.

Calculation:

Let's denote the measure of each base angle as x.

According to the property of isosceles triangles: 2x + 80° = 180° 2x = 180° - 80° 2x = 100° x = 50°

Answer:

Therefore, the measure of each base angle in the isosceles triangle is 50°.

This means that the angles at the base of the isosceles triangle are both 50° each.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.