Question

What angle properties do triangles and quadrilaterals have in common?

A) Both triangles and quadrilaterals always have interior angles that add up to 180 degrees.

B) Both triangles and quadrilaterals have exterior angles that add up to 360 degrees.

C) Both triangles and quadrilaterals can have at least one angle greater than 90 degrees.

D) Both triangles and quadrilaterals follow the same rule: the sum of all interior angles is always equal to the number of sides minus two, multiplied by 180 degrees.

Answer 1

Triangles and quadrilaterals have exterior angles totaling 360 degrees in common, and both can have angles greater than 90 degrees.

Step-by-step explanation:

The correct angle properties that triangles and quadrilaterals have in common is option B) Both triangles and quadrilaterals have exterior angles that add up to 360 degrees. While triangles have three sides and their interior angles add up to 180 degrees, quadrilaterals have four sides with their interior angles adding up to 360 degrees. The statement that both can have at least one angle greater than 90 degrees (option C) is also true, but it does not address the relationship of the angles' sums. Option D is incorrect because the formula given applies only to finding the sum of the interior angles in any polygon, and not for comparing triangles to quadrilaterals directly.