Triangle Sum Theorem

What does the Triangle Sum Theorem state?

• The sum of the angles of a triangle will always be 360 degrees.

• The sum of the angles of a triangle is equal to the sum of its sides.

• The sum of the angles of a triangle will always be 180 degrees.

• The sum of the angles of a triangle depends on its type.

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

• 86 degrees

• 104 degrees

• 96 degrees

• 91 degrees

What type of triangle is formed if one of its angles measures 96 degrees?

• Acute triangle

• Equilateral triangle

• Isosceles triangle

• Obtuse triangle

How can you prove the Triangle Sum Theorem using a physical model?

• By cutting out a triangle and ripping off the corners

• By using a triangle calculator

• By measuring the angles with a protractor

• By drawing a triangle on a graph paper

What is the value of x when 6x + 5 + 15x + 1 + 4x - 1 = 180?

• 7

• 5

• 9

• 11

If x is 7, what is the measure of the angle represented by 4x - 1?

• 28 degrees

• 30 degrees

• 27 degrees

• 29 degrees

What classification does a triangle get if it has an angle measuring 106 degrees?

• Scalene triangle

• Acute triangle

• Obtuse triangle

• Right triangle

To find an unknown angle in a triangle, you should:

• Subtract the known angles from 360

• Add the known angles and subtract from 100

• Add the known angles and subtract from 180

• Multiply the known angles by 2

What is the sum of all angles in a triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

If angle B is 90 degrees and angle C is 27 degrees, what is angle A?

• 63 degrees

• 73 degrees

• 53 degrees

• 83 degrees