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 are the measures of the angles in an equilateral triangle?

Back

In an equilateral triangle, all three angles measure 60 degrees.

Front

Can a triangle have two angles that are each greater than 90 degrees?

Back

No, a triangle cannot have two obtuse angles because the sum of the angles would exceed 180 degrees.

Front

If two angles of a triangle are 45 degrees and 85 degrees, what is the measure of the third angle?

Back

The third angle measures 50 degrees (180 - 45 - 85 = 50).

Front

What is the measure of each angle in a triangle with angles of 50°, 50°, and x°?

Back

x must be 80 degrees (50 + 50 + x = 180).

Front

What type of triangle has angles measuring 30°, 60°, and 90°?

Back

This is a right triangle.

Front

If a triangle has angles measuring 150°, 20°, and x°, what is the value of x?

Back

x must be 10 degrees (150 + 20 + x = 180).

Front

What is the maximum possible measure of an angle in a triangle?

Back

The maximum possible measure of an angle in a triangle is less than 180 degrees.

Front

If a triangle has angles measuring 90°, 45°, and x°, what is the value of x?

Back

x must be 45 degrees (90 + 45 + x = 180).