Question

In a parallelogram the opposite angles are ______.

Options

• supplementary

• equal

• complementary

• right angles

Answer 1

In a parallelogram the opposite angles are equal.

Explanation:

• A parallelogram is a quadrilateral a four-sided polygon with two pairs of parallel sides.
• Opposite angles are the angles at the opposite vertices of the parallelogram.
• A fundamental property of any parallelogram is that its opposite angles are always equal in measure congruent.

For example, in a parallelogram ABCD:

• ∠A = ∠C
• ∠B = ∠D

Other angle relationships

• Adjacent angles in a parallelogram are supplementary, meaning they add up to 180°. For example, ∠A + ∠B = 180°.
  
• The sum of all four interior angles is 360°.