Triangle Angle Sum Theorem

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

What are the types of triangles based on their angles?

Back

The types of triangles based on their angles are acute (all angles less than 90°), right (one angle equal to 90°), and obtuse (one angle greater than 90°).

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length and the angles opposite those sides are equal.

Front

How do you find the measure of an unknown angle in a triangle?

Back

To find the measure of an unknown angle in a triangle, subtract the sum of the known angles from 180 degrees.

Front

If two angles of a triangle are 50° and 60°, what is the measure of the third angle?

Back

The third angle measures 70° (180° - 50° - 60° = 70°).

Front

What is the relationship between the sides and angles in a triangle?

Back

In a triangle, the larger the angle, the longer the opposite side; conversely, the smaller the angle, the shorter the opposite side.

Front

What is the formula to calculate the sum of angles in a triangle?

Back

The formula to calculate the sum of angles in a triangle is: Angle A + Angle B + Angle C = 180°.

Front

How do you solve for x in a triangle equation?

Back

To solve for x in a triangle equation, set up an equation based on the Triangle Angle Sum Theorem or other triangle properties and solve for x.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring exactly 90 degrees.

Front

What is the significance of the base angles in an isosceles triangle?

Back

In an isosceles triangle, the base angles are equal, which is a key property used to solve for unknown angles.