Triangle Sum Theorem and Exterior Angle Theorem

Front

What does the Triangle Sum Theorem state?

Back

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

Front

If one angle of a triangle is 51 degrees and another is 47 degrees, what is the measure of the third angle?

Back

The third angle is 82 degrees, calculated as 180 - (51 + 47).

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

According to the Exterior Angle Theorem, how is an exterior angle related to the interior angles?

Back

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

Front

What is the formula to find the measure of an exterior angle?

Back

Exterior angle = Remote interior angle 1 + Remote interior angle 2.

Front

If angle d is an exterior angle, which angles are its remote interior angles?

Back

The two angles inside the triangle that are not adjacent to angle d.

Front

What is the value of x in the equation x + 51 + 47 = 180?

Back

x = 82.

Front

What is the measure of an angle if it is given that the exterior angle is 80 degrees?

Back

The sum of the two remote interior angles must equal 80 degrees.

Front

Define 'remote interior angle'.

Back

Remote interior angles are the two angles inside a triangle that are not adjacent to a given exterior angle.

Front

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

Corresponding angles are equal.