Triangle Sum Theorem

Front

What is the Triangle Sum Theorem?

Back

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

Front

If one angle of a triangle is 90 degrees, what can you say about the other two angles?

Back

The other two angles must sum to 90 degrees, making the triangle a right triangle.

Front

What is the measure of the third angle if two angles of a triangle measure 50 degrees and 60 degrees?

Back

The third angle measures 70 degrees (50 + 60 + x = 180, so x = 70).

Front

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

Back

Subtract the sum of the known angles from 180 degrees.

Front

What is the relationship between the angles in an isosceles triangle?

Back

In an isosceles triangle, the angles opposite the equal sides are equal.

Front

If a triangle has angles measuring 40 degrees and 100 degrees, what is the measure of the third angle?

Back

The third angle measures 40 degrees (40 + 100 + x = 180, so x = 40).

Front

What is the measure of each angle in an equilateral triangle?

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

If one angle of a triangle is 30 degrees and another is 50 degrees, what is the measure of the third angle?

Back

The third angle measures 100 degrees (30 + 50 + x = 180, so x = 100).

Front

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

Back

The sum of angles in a triangle is calculated as: Angle1 + Angle2 + Angle3 = 180 degrees.

Front

In a triangle, if one angle is 80 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 100 degrees (80 + x + y = 180, so x + y = 100).