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 90 degrees, what can you say about the other two angles?

Back

The other two angles must sum to 90 degrees, making the triangle a right triangle.

Front

What are the measures of the interior angles of a triangle with angles 9x + 4, 97, and 4x + 1?

Back

The measures are 97, 58, and 25 degrees.

Front

What is an exterior angle of a triangle?

Back

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

Front

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

Back

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

Front

If the exterior angle of a triangle is 52 degrees, and the remote interior angles are 4y - 4 and 3y, what are the measures of the remote interior angles?

Back

The measures are 24 degrees and 28 degrees.

Front

What is the formula to find the measure of the missing angle in a triangle if two angles are known?

Back

The measure of the missing angle can be found using the formula: Missing Angle = 180 - (Angle 1 + Angle 2).

Front

What is the value of x if the interior angles of a triangle are 9x + 4, 97, and 4x + 1?

Back

x = 6.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

If one angle of a triangle is 87 degrees and another is 85 degrees, what is the measure of the third angle?

Back

The third angle is 8 degrees.