Determine the missing angles using complementary and triangle angle sum

The video tutorial explains how to find missing angles in a right triangle. It begins by identifying a right triangle and the given angles. The instructor demonstrates how to calculate the first missing angle using complementary angles. Next, the second angle is determined using the triangle interior sum theorem. Finally, the third angle is calculated using both supplementary angles and the interior sum theorem. The tutorial emphasizes understanding angle relationships and applying mathematical theorems to solve for unknown angles.

What is the sum of complementary angles?

• 360 degrees

• 90 degrees

• 180 degrees

• 45 degrees

Which theorem states that the sum of the interior angles of a triangle is 180 degrees?

• Pythagorean Theorem

• Triangle Interior Sum Theorem

• Complementary Angle Theorem

• Supplementary Angle Theorem

If two angles in a triangle are 41 degrees and 35 degrees, what is the measure of the third angle?

• 90 degrees

• 55 degrees

• 76 degrees

• 104 degrees

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

• The exterior angle is equal to the quotient of the two opposite interior angles.

• The exterior angle is equal to the difference of the two opposite interior angles.

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

• The exterior angle is equal to the product of the two opposite interior angles.

If an angle is supplementary to a 104-degree angle, what is its measure?

• 104 degrees

• 76 degrees

• 180 degrees

• 90 degrees