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.

Tags

CCSS.8.G.A.5

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

Tags

CCSS.8.G.A.5

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

Tags

CCSS.8.G.A.5

What is the measure of a right angle?

• 90 degrees

• 60 degrees

• 45 degrees

• 120 degrees

Tags

CCSS.4.G.A.1

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

Tags

CCSS.8.G.A.5

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.

Tags

CCSS.8.G.A.2

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

Tags

CCSS.8.G.A.5

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

Tags

CCSS.8.G.A.5

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

• 12

• 11

• 10

• 13

Tags

CCSS.8.G.A.5

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

Tags

CCSS.8.G.A.5