One of the parallelograms is 30 degrees smaller than the other. Find the larger angle of the parallelogram.

It is known from the condition that one angle of the parallelogram is 30 ° less than the other. In order to find the larger angle of the parallelogram, we must remember the properties of the angles of the parallelogram and what is the sum of the angles of the quadrilateral.

So, a parallelogram has opposite angles to each other.

So, we denote one pair of angles using the variable x, then the second pair of angles is (x – 30).

The angles of a quadrilateral add up to 360 °.

x + x + x – 30 + x – 30 = 360;

4x = 360 + 60;

4x = 420;

x = 105 ° smaller parallelogram angle,

Then the larger one is 105 – 30 = 75 °.