Exploring the Triangle Sum Theorem

The video tutorial explains the Triangle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees. The instructor demonstrates this concept by visualizing the angles of a triangle forming a straight line. Two example problems are solved to find unknown angles using the theorem, and the triangles are classified based on their angle measures. The first example involves simple arithmetic, while the second example uses algebraic expressions to represent the angles.

What is the name of the theorem that states the sum of the angles in a triangle is always 180 degrees?

• Congruence Theorem

• Angle Bisector Theorem

• Triangle Sum Theorem

• Pythagorean Theorem

How many angles does a triangle have?

• Two

• Three

• Four

• Five

What happens when you remove and align the three angles of a triangle?

• They form a circle

• They form a straight line

• They form a square

• They form a right angle

What is the measure of a straight angle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

If two angles of a triangle are 35 degrees and 49 degrees, what is the measure of the third angle?

• 90 degrees

• 86 degrees

• 100 degrees

• 96 degrees

What type of triangle has one angle greater than 90 degrees?

• Obtuse triangle

• Equilateral triangle

• Right triangle

• Acute triangle

In the example problem, what is the value of X if the angles are represented by 6X+5, 15X+1, and 4X-1?

• 7

• 6

• 8

• 5

What is the measure of the angle represented by 4X-1 when X is 7?

• 28 degrees

• 27 degrees

• 26 degrees

• 25 degrees

What is the measure of the angle represented by 6X+5 when X is 7?

• 45 degrees

• 48 degrees

• 46 degrees

• 47 degrees

What type of triangle is formed if one of its angles measures 106 degrees?

• Equilateral triangle

• Acute triangle

• Right triangle

• Obtuse triangle