Exploring the Triangle Sum Theorem

What is the sum of the interior angles of any triangle?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

If a triangle has two angles measuring 70 and 66 degrees, what is the measure of the third angle?

• 54 degrees

• 50 degrees

• 46 degrees

• 44 degrees

In a triangle, if one angle is 68 degrees and another is 51 degrees, what is the measure of the third angle?

• 62 degrees

• 64 degrees

• 63 degrees

• 61 degrees

What is a characteristic of isosceles triangles?

• All sides and angles are equal

• Two sides and two angles are equal

• All angles are different

• All sides are different lengths

In an isosceles triangle with one angle measuring 40 degrees, what is the measure of each of the other two angles?

• 90 degrees

• 60 degrees

• 70 degrees

• 80 degrees

How many triangles can be formed inside an octagon?

• 7

• 6

• 5

• 4

What is the sum of the interior angles of an octagon?

• 1260 degrees

• 720 degrees

• 900 degrees

• 1080 degrees

If a triangle has angles represented by 2x + 1, 5x + 5, and 90 degrees, what is the value of x?

• 11

• 13

• 12

• 10

In the previous problem, what is the measure of the angle represented by 2x + 1?

• 26 degrees

• 24 degrees

• 25 degrees

• 23 degrees

In the same problem, what is the measure of the angle represented by 5x + 5?

• 61 degrees

• 60 degrees

• 65 degrees

• 62 degrees