Triangle Angle-sum and Exterior Angle Theorem Review

Front

What is the Triangle Angle-sum Theorem?

Back

The Triangle Angle-sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

How do you find the measure of an exterior angle of a triangle?

Back

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

If one angle of a triangle measures 50 degrees and another measures 60 degrees, what is the measure of the third angle?

Back

The third angle measures 70 degrees, calculated as 180 - (50 + 60).

Front

What is the relationship between the angles in a triangle?

Back

The angles in a triangle are related such that their sum is always 180 degrees.

Front

What is the measure of an angle if its exterior angle is 120 degrees?

Back

The measure of the interior angle is 60 degrees, since the exterior angle equals the sum of the two non-adjacent interior angles.

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 formula to calculate the missing angle in a triangle?

Back

The formula is: Missing angle = 180 - (sum of the known angles).

Front

If two angles of a triangle are equal, what type of triangle is it?

Back

It is an isosceles triangle.

Front

What is the measure of each angle in an equilateral triangle?

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

How do you solve for an unknown angle in a triangle when given the other two angles?

Back

Subtract the sum of the known angles from 180 degrees to find the unknown angle.