Question

Знайдіть усі кути паралелограма , якщо сума двох його кутів дорівнює 74

Answer 1

37+x=180
x=180-37
x=143
143,37,143,37

Answer 2

Finding the angles of a parallelogram

To find all the angles of a parallelogram, we need to know that opposite angles in a parallelogram are congruent. This means that if we have the measure of one angle, we can find the measure of its opposite angle by subtracting it from 180 degrees.

Let's assume that the measure of one angle in the parallelogram is x degrees. Since the sum of two angles in the parallelogram is given as 74 degrees, we can set up the following equation:

x + (180 - x) = 74

Simplifying the equation, we get:

180 = 74 + x

Subtracting 74 from both sides, we have:

106 = x

Therefore, the measure of one angle in the parallelogram is 106 degrees. Since opposite angles in a parallelogram are congruent, the measure of the opposite angle is also 106 degrees.

So, the angles of the parallelogram are:

- Angle 1: 106 degrees - Angle 2: 106 degrees - Angle 3: 74 degrees - Angle 4: 74 degrees

Please note that the sum of all four angles in a parallelogram is always 360 degrees.

I hope this helps! Let me know if you have any further questions.