Adv. Geometry - Angles in a Triangle Concept Check

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of all angles in a triangle is 180°.

Front

What is the measure of each angle in a triangle if one angle is 66° and the other two angles are equal?

Back

Each of the other two angles measures 57°.

Front

Define 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

If one angle of a triangle measures 40° and another measures 70°, what is the measure of the third angle?

Back

The third angle measures 70° (180° - 40° - 70° = 70°).

Front

What is the relationship between an exterior angle and the two opposite interior angles?

Back

The exterior angle is equal to the sum of the two opposite interior angles.

Front

How do you find the value of x in a triangle when given angle measures?

Back

Set up an equation using the Triangle Sum Theorem (sum of angles = 180°) and solve for x.

Front

What is the formula to calculate the sum of angles in a triangle?

Back

The sum of angles in a triangle is calculated as: Angle A + Angle B + Angle C = 180°.

Front

What is the definition of an acute angle?

Back

An acute angle is an angle that measures less than 90°.

Front

What is the definition of an obtuse angle?

Back

An obtuse angle is an angle that measures more than 90° but less than 180°.

Front

What is the definition of a right angle?

Back

A right angle is an angle that measures exactly 90°.