Question

Гайдите углы равнобокой трапеции , еслт один из ее углов на 30 градусов больше второго

Answer 1

90 + 30 : 2 = 105 ( больший угол )
180 - 105 = 75 ( меньший угол )
ответ: 105,105,75,75

Answer 2

Finding the angles of an isosceles trapezoid when one angle is 30 degrees greater than the other

To find the angles of an isosceles trapezoid when one angle is 30 degrees greater than the other, we can use the properties of isosceles trapezoids.

An isosceles trapezoid is a trapezoid with two parallel sides of equal length. In this case, we are given that one angle is 30 degrees greater than the other.

Let's denote the smaller angle as x. According to the given information, the larger angle is x + 30.

Since the sum of the interior angles of a trapezoid is 360 degrees, we can set up the following equation:

x + x + x + 30 + x = 360

Simplifying the equation, we get:

4x + 30 = 360

Subtracting 30 from both sides, we have:

4x = 330

Dividing both sides by 4, we find:

x = 82.5

Therefore, the smaller angle (x) is 82.5 degrees, and the larger angle (x + 30) is 112.5 degrees.

So, in an isosceles trapezoid where one angle is 30 degrees greater than the other, the smaller angle is 82.5 degrees, and the larger angle is 112.5 degrees.

Please note that the above explanation is based on the properties of isosceles trapezoids and the given information.