Exploring the Triangle Sum Theorem

The video tutorial explains the Triangle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees. It provides several examples to illustrate how to calculate unknown angles when given some angle measures, including scenarios with right angles, congruent angles, and equations involving variables. The tutorial emphasizes the consistent application of the theorem across different types of problems.

What does the Triangle Sum Theorem state about the sum of the interior angles of a triangle?

• They add up to 360 degrees.

• They add up to 270 degrees.

• They add up to 90 degrees.

• They add up to 180 degrees.

If angle A is 46 degrees and angle C is 93 degrees, what is the measure of angle B?

• 41 degrees

• 43 degrees

• 45 degrees

• 47 degrees

Given angles of 30 degrees and 126 degrees in a triangle, what is the measure of the third angle?

• 24 degrees

• 26 degrees

• 28 degrees

• 30 degrees

What is the measure of a right angle?

• 90 degrees

• 60 degrees

• 45 degrees

• 120 degrees

If a triangle has a right angle and another angle of 42 degrees, what is the measure of the third angle?

• 68 degrees

• 48 degrees

• 38 degrees

• 58 degrees

What does it mean when angles in a triangle are marked as congruent?

• They are right angles.

• They are complementary.

• They are supplementary.

• They are equal in measure.

If two angles in a triangle are both 62 degrees, what is the measure of the third angle?

• 58 degrees

• 56 degrees

• 62 degrees

• 60 degrees

In a triangle, if one angle is represented as x and another as 5x, what is the value of x if the third angle is 60 degrees?

• 20 degrees

• 15 degrees

• 25 degrees

• 10 degrees

If a triangle has angles represented as 2x + 5, 4x + 13, and 90 degrees, what is the value of x?

• 12

• 11

• 10

• 13

In a triangle, if the angles are represented as 3x - 10, 9x, and 2x - 6, what is the value of x?

• 15

• 14

• 13

• 12