Question

What angle properties do triangles and quadrilaterals have in common?

A. Both have interior angles summing to 360 degrees.
B. Both have congruent opposite angles.
C. Both have one pair of parallel sides.
D. Both have exterior angles summing to 180 degrees.

Answer 1

Triangles and quadrilaterals have interior angles summing to 360 degrees, congruent opposite angles, and exterior angles summing to 180 degrees. The correct statement regarding angle properties shared by triangles and quadrilaterals is:A. Both have interior angles summing to 360 degrees.

Step-by-step explanation:

Triangles and quadrilaterals have the following angle properties in common:

1. Both have interior angles summing to 360 degrees. In a triangle, the sum of the interior angles is always 180 degrees. In a quadrilateral, the sum of the interior angles is always 360 degrees.
2. Both have congruent opposite angles. In a triangle, opposite angles are always congruent. In a quadrilateral, opposite angles are also always congruent.
3. Both have exterior angles summing to 180 degrees. In a triangle, the sum of the exterior angles is always 360 degrees. In a quadrilateral, the sum of the exterior angles is always 360 degrees.