Find all the angles of the parallelogram if the sum of two of them is equal to: 1) 80; 2) 100 degrees; 3) 160 degrees

а)

80 <180, so these are equal angles. Let’s define what one angle will be equal to:

80: 2 = 40.

Let’s determine what each of the other two corners of the figure will equal:

180 – 40 = 140.

Answer: 2 at 40 ° and 2 at 140 °.

b)

100 <180, so these are equal angles. Let’s define what one angle will be equal to:

100: 2 = 50.

Let’s determine what each of the other two corners of the figure will equal:

180 – 50 = 130.

Answer: 2 at 50 ° and 2 at 130 °.

с)

160 <180, so these are equal angles. Let’s define what one angle will be equal to:

160: 2 = 80.

Let’s determine what each of the other two corners of the figure will equal:

180 – 80 = 100.

Answer: 2 at 80 ° and 2 at 100 °.