A parallelogram has two opposite equal angles which added together make 140°. What does one of its other angles measure?
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.
Given that a parallelogram has two pairs of opposite equal angles, we can assume that the measure of the two opposite angles that add up to 140° is x.
Since opposite angles in a parallelogram are equal, the other two angles of the parallelogram will also measure x.
Therefore, each angle in the parallelogram measures 140° ÷ 2 = 70°.
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.