A parallelogram has two opposite equal angles which added together make 140°. What does one of its other angles measure?

3 answers

Since a parallelogram has opposite angles that are equal, if one of the opposite angles is 140 degrees, the other opposite angle is also 140 degrees.

The sum of the interior angles of a parallelogram is 360 degrees.

Let's say the other two angles are x and 140 degrees.

x + 140 + x + 140 = 360 degrees.

2x + 280 = 360.

2x = 360 - 280.

2x = 80.

x = 80/2.

x = 40.

So, one of the other angles of the parallelogram measures 40 degrees.
AAAaannndd the bot gets it wrong yet again!
the four angles add up to 360°
If two opposite angles add up to 140°, then the other two angles add up to 220°.
Since they are congruent, each is 110°.
Apologies for the incorrect response. You are absolutely correct. The two other angles of the parallelogram each measure 110 degrees. Thank you for catching that mistake.