Triangle Sum Theorem

If one angle of a triangle measures 66°, what is the sum of the measures of the other two angles?

• 114°

• 120°

• 108°

• 90°

What is the formula to find the measure of an unknown angle in a triangle?

• Unknown angle = 180° - (Angle 1 + Angle 2)

• Unknown angle = 90° - (Angle 1 + Angle 2)

• Unknown angle = 360° - (Angle 1 + Angle 2)

• Unknown angle = 180° + (Angle 1 + Angle 2)

What is the measure of an angle in a triangle if the other two angles are 45° and 45°?

• 60°

• 75°

• 90°

• 100°

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

• 30°

• 45°

• 60°

• 90°

If a triangle has angles measuring 70° and 40°, what is the measure of the third angle?

• 70°

• 60°

• 50°

• 80°

What is the significance of the Triangle Sum Theorem in solving real-world problems?

• It helps in determining unknown angles in various applications, such as architecture, engineering, and navigation.

• It is used to calculate the area of triangles in geometry.

• It provides a method for constructing triangles with specific angle measures.

• It is primarily used in algebra to solve linear equations.

What is the relationship between the angles in a right triangle?

• In a right triangle, one angle measures 90°, and the sum of the other two angles is 90°.

• All angles in a right triangle are equal.

• The sum of all angles in a right triangle is 180° and each angle measures 60°.

• In a right triangle, the two acute angles are always equal.

What does the Triangle Sum Theorem state?

• The sum of the interior angles of a triangle is always 180 degrees.

• The sum of the exterior angles of a triangle is always 360 degrees.

• The sum of the angles in any polygon is equal to 180 degrees times the number of sides minus two.

• The sum of the angles in a right triangle is always 90 degrees.

If a triangle has angles measuring 36° and 54°, what is the measure of the third angle?

• 80°

• 90°

• 100°

• 110°

How can you determine if a triangle is valid based on its angles?

• A triangle is valid if the sum of its three angles equals 180°.

• A triangle is valid if it has at least one angle greater than 90°.

• A triangle is valid if all its angles are equal to 60°.

• A triangle is valid if the sum of its two smallest angles is greater than the largest angle.