Triangle Sum Theorem and Exterior Angle Theorem

Front

What is the Triangle Sum Theorem?

Back

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

Front

If one angle of a triangle is 41 degrees and another is 51 degrees, what is the measure of the third angle?

Back

The third angle is 180 - (41 + 51) = 88 degrees.

Front

What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that 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 an exterior angle measures 80 degrees, and one of the non-adjacent interior angles is 47 degrees, what is the measure of the other non-adjacent interior angle?

Back

The other angle is 80 - 47 = 33 degrees.

Front

How do you find the value of x in a triangle if the angles are represented as x, 51, and 47 degrees?

Back

Set up the equation: x + 51 + 47 = 180. Solve for x: x = 180 - (51 + 47) = 82.

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

If two angles of a triangle are 57 degrees and 47 degrees, what is the measure of the third angle?

Back

The third angle is 180 - (57 + 47) = 76 degrees.

Front

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

Back

The formula is: Angle1 + Angle2 + Angle3 = 180 degrees.

Front

If an exterior angle is 22 degrees, and one of the non-adjacent interior angles is 41 degrees, what is the measure of the other non-adjacent interior angle?

Back

The other angle is 22 - 41 = -19 degrees (not possible, check the values).

Front

What is the first step to solve for x in a triangle with angles x, 51, and 47 degrees?

Back

The first step is to set up the equation: x + 51 + 47 = 180.