Angles in Triangles

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What is an exterior angle of a triangle?

Back

An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side.

Front

State the Exterior Angle Theorem.

Back

The Exterior Angle Theorem states that the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

How do you find a missing angle in a triangle?

Back

To find a missing angle in a triangle, subtract the sum of the known angles from 180 degrees.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, one angle is 90 degrees, and the sum of the other two angles is 90 degrees.

Front

Define complementary angles.

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

Define supplementary angles.

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

What is the formula for the sum of angles in a polygon?

Back

The sum of the interior angles of a polygon with n sides is (n-2) * 180 degrees.

Front

How can you determine if a triangle is acute, right, or obtuse based on its angles?

Back

A triangle is acute if all angles are less than 90 degrees, right if one angle is exactly 90 degrees, and obtuse if one angle is greater than 90 degrees.

Front

What is the relationship between the sides and angles in a triangle?

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.