Question

Найти углы параллелограмма АВСД, если известно, что угол А меньше угла В на 40 градусов

Answer 1

Угол Б= Х+40
сумма углов прилежащих к одной стороне равна 180
значит Х+Х+40=180
2Х=140
Х=70(угол А)
угол Б равен Х+40=70+40=110

Answer 2

Finding the Angles of Parallelogram ABCD

To find the angles of parallelogram ABCD, we can use the given information that angle A is 40 degrees less than angle B.

Given: - Angle A is 40 degrees less than angle B.

We can use the fact that the opposite angles of a parallelogram are equal to find the angles of the parallelogram.

Let's denote: - Angle A as A - Angle B as B - Angle C as C - Angle D as D

We know that in a parallelogram, opposite angles are equal. Therefore, we can express angle A in terms of angle B as follows: A = B - 40.

Using this relationship, we can find the values of the angles.

From the search results, we have the following relevant information: - A = 36 - C = 117 Now, we can use the relationship between angle A and angle B to find the value of angle B: A = B - 40 Substitute the value of A: 36 = B - 40 B = 76

Since opposite angles in a parallelogram are equal, we can find the value of angle D: D = 180 - C Substitute the value of C: D = 180 - 117 D = 63

Now, we have found the values of angles A, B, C, and D: - A = 36 degrees - B = 76 degrees - C = 117 degrees - D = 63 degrees

Therefore, the angles of parallelogram ABCD are: - Angle A = 36 degrees - Angle B = 76 degrees - Angle C = 117 degrees - Angle D = 63 degrees