Question

СТОРОНА ПАРАЛЛЕЛОГРАММА РАВНА 2 КОРНЯ ИЗ ТРЁХ СМ. НАЙДИТЕ ЕГО УГЛЫ, ЕСЛИ ДИАГОНАЛЬ, ОБРАЗУЮЩАЯ С ДРУГОЙ СТОРОНОЙ УГОЛ В 30 ГРАДУСОВ, РАВНА 6 СМ.

Answer 1

АВ=23см; АС-диагональ и ВД диагональ. АС=ВД=6 см, т.к. диагонали равны в параллелограмме.  Угол Д= 1/2 30 градусов, т.е половина, значит полностью угол Д=60 градусов. Углы Д и В равны 60 градусов (по св-ву параллелограмма), следовательно, Угл А=180 градусов - 60=120. Угол А=С=120 градусов. 

Answer 2

Finding the Angles of a Parallelogram

To find the angles of a parallelogram, we need to use the given information about the diagonals and the angle formed by one of the diagonals with another side.

Let's break down the given information: - The length of one of the diagonals is 6 cm. - The angle formed by this diagonal with another side is 30 degrees.

To find the angles of the parallelogram, we can use the properties of parallelograms. One of the properties states that opposite angles in a parallelogram are congruent. Therefore, if we find one angle, we can determine the measure of its opposite angle.

Let's denote the angles of the parallelogram as follows: - Angle 1: The angle formed by the given diagonal and one of the sides. - Angle 2: The opposite angle to Angle 1. - Angle 3: The angle formed by the other diagonal and one of the sides. - Angle 4: The opposite angle to Angle 3.

To find Angle 1, we can use the given information that the angle formed by the given diagonal and another side is 30 degrees. Therefore, Angle 1 is also 30 degrees.

Since opposite angles in a parallelogram are congruent, Angle 2 is also 30 degrees.

Now, let's find Angle 3. We know that opposite angles in a parallelogram are congruent, so Angle 3 is also 30 degrees.

Finally, Angle 4 is also 30 degrees because it is congruent to Angle 3.

Therefore, the angles of the parallelogram are as follows: - Angle 1: 30 degrees - Angle 2: 30 degrees - Angle 3: 30 degrees - Angle 4: 30 degrees

Please let me know if there's anything else I can help you with!