One of the corners of the parallelogram is 2 times smaller than the other. find all the angles of the parallelogram.

Let us express the larger angle of the parallelogram, for which we will use the variable m.

Then, according to the conditions of the assignment, the smaller angle of this geometric figure can be expressed in the form of m / 2.

Since we know from the school geometry course that such angles add up to 180 °, then we can write down an equation and find out what each of these angles will be equal to:

m + m / 2 = 180;

2m + m = 360;

3m = 360;

m = 120;

120: 2 = 60.

Answer: Two corners of this figure will be 60 ° each, and two more angles will be 120 ° each.