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

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Front

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

Back

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

Front

In a triangle, if one angle measures 45 degrees and another measures 45 degrees, what is the measure of the third angle?

Back

The third angle measures 90 degrees (180 - 45 - 45 = 90).

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 the angles of a triangle are in the ratio 2:3:5, what are the measures of the angles?

Back

The angles measure 36 degrees, 54 degrees, and 90 degrees.

Front

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

Back

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

Front

What is the measure of angle b if angle a is 63 degrees and angle c is 81 degrees?

Back

Angle b measures 36 degrees (180 - 63 - 81 = 36).

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 two angles of a triangle are 30 degrees and 70 degrees, what is the measure of the third angle?

Back

The third angle measures 80 degrees (180 - 30 - 70 = 80).