Triangle Sum, Exterior Angle and Isosceles Triangle 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

What is an Exterior Angle of a triangle?

Back

An Exterior Angle of a triangle is formed by one side of the 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

What is the Isosceles Triangle Theorem?

Back

The Isosceles Triangle Theorem states that in an isosceles triangle, the angles opposite the equal sides are also equal.

Front

If one angle of a triangle is 60 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 120 degrees, as the sum of all angles must equal 180 degrees.

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

What is the relationship between the exterior angle and the interior angles of a triangle?

Back

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Front

If two angles of a triangle are 35 degrees and 70 degrees, what is the measure of the third angle?

Back

The third angle measures 75 degrees, calculated as 180 - (35 + 70).

Front

In an isosceles triangle, if one angle is 40 degrees, what are the measures of the other two angles?

Back

The other two angles are each 70 degrees, since they are equal and the sum must be 180 degrees.

Front

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

Back

The formula is: Angle1 + Angle2 + Angle3 = 180 degrees.

Front

If an exterior angle measures 110 degrees, what is the sum of the two opposite interior angles?

Back

The sum of the two opposite interior angles is 70 degrees, calculated as 180 - 110.