Exterior Angles and Triangle Properties

The video tutorial explains the exterior angle theorem, which states that the exterior angle of a triangle is equal to the sum of the two remote interior angles. The instructor provides multiple example problems to illustrate the theorem, including calculations involving linear pairs and algebraic expressions. The video concludes with a complex problem that requires solving a quadratic equation to find the value of unknown angles.

What is the exterior angle theorem?

• The exterior angle is equal to the interior angle.

• The exterior angle is the difference between the two remote interior angles.

• The exterior angle is the sum of the two remote interior angles.

• The exterior angle is half of the interior angle.

Tags

CCSS.8.G.A.5

If one remote interior angle is 40 degrees and the other is 60 degrees, what is the exterior angle?

• 90 degrees

• 80 degrees

• 120 degrees

• 100 degrees

Tags

CCSS.7.G.B.5

What do the angles in a linear pair add up to?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

Tags

CCSS.8.G.A.5

In a triangle, if one angle is 40 degrees and the exterior angle is 110 degrees, what is the other remote interior angle?

• 70 degrees

• 90 degrees

• 60 degrees

• 80 degrees

How do you find the value of x in the equation 10x + 40 = 9x - 3 + 6x + 8?

• x = 5

• x = 9

• x = 7

• x = 3

Tags

CCSS.7.G.B.5

What is the value of angle 1 if x = 7 and angle 1 is 6x + 8?

• 60 degrees

• 56 degrees

• 50 degrees

• 42 degrees

Tags

CCSS.8.G.A.5

What is the sum of angles in a triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

Tags

CCSS.7.G.B.5

If x = 3, what is the measure of angle A if angle A is 8x + 10?

• 54 degrees

• 44 degrees

• 34 degrees

• 24 degrees

Tags

CCSS.HSA-REI.B.4B

What are the possible values of x if the equation is x^2 - 8x + 15 = 0?

• x = 4 or x = 5

• x = 3 or x = 5

• x = 5 or x = 6

• x = 2 or x = 3

Tags

CCSS.7.G.B.5

What is the measure of angle C if x = 5 and angle C is 16x?

• 70 degrees

• 60 degrees

• 90 degrees

• 80 degrees

Tags

CCSS.7.G.B.5