Triangle Angle-Sum and Exterior Angle Theorem Review + // Lines

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

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. It is equal to the sum of the two opposite interior angles.

Front

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

Back

Corresponding angles are equal when two parallel lines are cut by a transversal.

Front

What are Alternate Interior Angles?

Back

Alternate Interior Angles are pairs of angles that are on opposite sides of the transversal and inside the two lines. They are equal when the lines are parallel.

Front

What is the measure of the third angle in a triangle if the other two angles are 51° and 41°?

Back

The measure of the third angle is 88° (180° - 51° - 41°).

Front

If angle 2 and angle 5 are corresponding angles and m<2 = 60°, what is m<5?

Back

m<5 = 60° because corresponding angles are equal.

Front

What is the definition of Vertical Angles?

Back

Vertical Angles are the angles opposite each other when two lines intersect. They are always equal.

Front

If line m is parallel to line n, what can be said about the angles formed by a transversal?

Back

The angles formed by a transversal cutting through parallel lines have specific relationships: corresponding angles are equal, alternate interior angles are equal, and same-side interior angles are supplementary.

Front

Calculate the value of x if m<2 = 60° and m<5 = (x + 25) for corresponding angles.

Back

x = 35.

Front

What is the sum of the exterior angles of any polygon?

Back

The sum of the exterior angles of any polygon is always 360 degrees.