Question

plz answer the 6th question

Answer 1

Let the smallest angle be 'x'.

Then the greatest angle will be 2x - 20.

We know that Consecutive angles of a parallelogram add up to 180°.

⇒ x + (2x - 20) = 180°

⇒ x + 2x - 20 = 180°

⇒ 3x - 20 = 180°

⇒ 3x = 200

⇒ x = 66.67.

Then:

⇒ 2x - 20

⇒ 2(66.67) - 20

⇒ 113.34.

We know that opposite angles are congruent.

The angles of a parallelogram are 66.67, 113.34, 66.67,113.34.

Hope this helps!