Exploring the Triangle Angle Sum Theorem

This video tutorial from Friendly Math 101 covers the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees. The video includes three examples: finding a missing angle, solving for x in a triangle, and an advanced example of solving for x. Each example demonstrates how to apply the theorem to solve problems. The tutorial concludes with a prompt to subscribe for more math tutorials.

What does the Triangle Angle Sum Theorem state?

• All angles of a triangle add up to 90°

• All angles of a triangle add up to 180°

• All angles of a triangle add up to 270°

• All angles of a triangle add up to 360°

If angle A is 60°, angle B is 90°, what is angle C?

• 45°

• 90°

• 60°

• 30°

In the first example, if angle B is 90° and angle C is 27°, what is angle A?

• 83°

• 53°

• 73°

• 63°

In the second example, what is the value of x if the angles are 52°, 10x, and 8 + 2x?

• 5

• 15

• 20

• 10

What is the sum of the angles 52° and 8 in the second example?

• 50

• 60

• 70

• 80

In the second example, what is the combined coefficient of x?

• 10x

• 16x

• 12x

• 14x

In the third example, what is the value of x if the angles are 2x + 11, 3x - 7, and 2x + 1?

• 20

• 35

• 25

• 30

What is the sum of the constants 11, -7, and 1 in the third example?

• 6

• 5

• 3

• 4

In the third example, what is the combined coefficient of x?

• 8x

• 5x

• 6x

• 7x

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