Q2W4 Geo Triangle Angle Sum/Classify/Exterior Angle

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

How do you classify a triangle based on its angles?

Back

Triangles can be classified as acute (all angles < 90°), right (one angle = 90°), or obtuse (one angle > 90°).

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. The measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles.

Front

If angle A = 38° and angle B = 52°, what is angle C in triangle ABC?

Back

Angle C = 180° - (38° + 52°) = 90°.

Front

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

Back

Front

How do you find the value of x in the equation 4x - 2 + 75 = 12x + 1?

Back

Combine like terms: 4x + 73 = 12x + 1. Then, isolate x: 72 = 8x, so x = 9.

Front

What is the relationship between the angles in a linear pair?

Back

The angles in a linear pair are supplementary, meaning they add up to 180 degrees.

Front

What is the measure of angle x if 8x + 2 = 50?

Back

To find x, solve the equation: 8x = 50 - 2, so 8x = 48, thus x = 6.

Front

What does it mean for a triangle to be equilateral?

Back

An equilateral triangle has all three sides of equal length and all three angles measuring 60 degrees.

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.