DO NOW: Triangle Sum Theorem and Exterior Angle Theorem

Front

What does the Triangle Sum Theorem state?

Back

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

Front

What is an Exterior Angle in 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 Remote Interior Angles?

Back

The measure of an Exterior Angle is equal to the sum of the measures of the two Remote Interior Angles.

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 the formula to find the measure of an unknown angle in a triangle?

Back

The formula is x + angle1 + angle2 = 180.

Front

Define Remote Interior Angles.

Back

Remote Interior Angles are the two angles inside a triangle that are not adjacent to a given Exterior Angle.

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 angle A = 45 degrees and angle B = 55 degrees, what is angle C?

Back

Angle C is 80 degrees, calculated as 180 - (45 + 55).

Front

What is the definition of Corresponding Angles?

Back

Corresponding Angles are pairs of angles that are in similar positions at each intersection where a straight line crosses two others.

Front

How do you solve for x in the equation x + 51 + 47 = 180?

Back

Combine like terms to get x + 98 = 180, then x = 82.