Question

Найдите угол при основании равнобедренного треугольника если угол между боковыми сторонами равен 50

Answer 1

180-(50+50)=80-два равные углы при основании;80:2=40(градусов)

Answer 2

Finding the Angle at the Base of an Isosceles Triangle

To find the angle at the base of an isosceles triangle when the angle between the two equal sides is 50 degrees, we can use trigonometric principles.

Step 1: Let's denote the angle at the base of the isosceles triangle as x and the angle between the two equal sides as y.

Step 2: In an isosceles triangle, the angles opposite the equal sides are also equal. Therefore, we have: - Angle opposite the base = Angle opposite the base = x - Angle between the equal sides = y = 50 degrees

Step 3: Using the properties of isosceles triangles, we can calculate the angle at the base using the following formula: - x = (180 - y) / 2

Step 4: Substitute the given value of y into the formula to find x: - x = (180 - 50) / 2 - x = 65 degrees

Therefore, the angle at the base of the isosceles triangle is 65 degrees.

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