Question

72°. Знайдіть кути паралелограма, якщо один з його кутів у 3 рази біль- ший за інший.

Answer 1

Ответ: 45°, 135°

Объяснение:

Сума кутів, прилеглих до однієї сторони паралелограма, дорівнює 180°.

X+3X=180°

4X=180

X= 45°

3×45= 135°

Answer 2

Finding the Angles of a Parallelogram

To find the angles of a parallelogram when one angle is three times larger than the other, we can use the fact that opposite angles in a parallelogram are congruent. This means that if one angle is x degrees, then the opposite angle is also x degrees.

Let's assume that one angle of the parallelogram is x degrees. According to the given information, the other angle is three times larger, so it would be 3x degrees.

Since opposite angles in a parallelogram are congruent, the sum of the angles of a parallelogram is 360 degrees. Therefore, we can set up the following equation:

x + 3x + x + 3x = 360

Simplifying the equation, we get:

8x = 360

Dividing both sides of the equation by 8, we find:

x = 45

Therefore, one angle of the parallelogram is 45 degrees, and the other angle is three times larger, which is 3 * 45 = 135 degrees.

So, the angles of the parallelogram are 45 degrees and 135 degrees.

Note: The search results did not provide specific information about the angles of a parallelogram when one angle is three times larger than the other. However, the solution provided is based on the properties of parallelograms and the given information.