Exploring the Triangle Angle Sum Theorem

What does the Triangle Angle Sum Theorem state?

• All three angles of a triangle add up to 180 degrees.

• The sum of the exterior angles of a triangle is 360 degrees.

• The exterior angle of a triangle is equal to the sum of the two interior opposite angles.

• The sum of the angles in a quadrilateral is 360 degrees.

Tags

CCSS.8.G.A.5

According to the Exterior Angle Theorem, what is the relationship between the interior and exterior angles?

• Interior angle equals the sum of the other two interior angles.

• Exterior angle equals the sum of all three interior angles.

• Interior plus interior equals exterior.

• Interior angle equals exterior angle.

Tags

CCSS.8.G.A.5

If a triangle has angles of 24 degrees and 37 degrees, what is the measure of the third angle?

• 121 degrees

• 120 degrees

• 122 degrees

• 119 degrees

Tags

CCSS.8.G.A.5

In a triangle, if one interior angle is 76 degrees and another is 52 degrees, what is the measure of the exterior angle adjacent to these two angles?

• 127 degrees

• 128 degrees

• 129 degrees

• 126 degrees

Tags

CCSS.8.G.A.5

Using the Exterior Angle Theorem, if one interior angle is 79 degrees and the exterior angle is 104 degrees, what is the measure of the other interior angle?

• 25 degrees

• 23 degrees

• 26 degrees

• 24 degrees

Tags

CCSS.8.G.A.5

In a triangle with angles 66 degrees and 84 degrees, what is the measure of the third angle?

• 28 degrees

• 29 degrees

• 31 degrees

• 30 degrees

Tags

CCSS.8.G.A.5

If two angles form a linear pair and one angle is 84 degrees, what is the measure of the other angle?

• 94 degrees

• 97 degrees

• 96 degrees

• 95 degrees

Tags

CCSS.7.G.B.5

In a triangle, if the angles are represented as 5x-2, 9x+3, and 11x-21, what is the value of x?

• 7

• 8

• 9

• 6

Tags

CCSS.8.G.A.5

Using the value of x found in the previous question, what is the measure of the angle represented by 5x-2?

• 37 degrees

• 36 degrees

• 38 degrees

• 39 degrees

Tags

CCSS.7.G.B.5

Using the Exterior Angle Theorem, if the interior angles are represented as 13x-11 and 4x+1, and the exterior angle is 18x-15, what is the value of x?

• 5

• 6

• 7

• 4

Tags

CCSS.8.G.A.5