Exploring the Exterior Angle Theorem

What does the Exterior Angle Theorem state?

• The exterior angle is equal to the interior angle.

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

• The exterior angle is half the sum of the interior angles.

• The exterior angle is double the interior angle.

What is an exterior angle?

• An angle that is equal to 90 degrees.

• An angle formed by two sides of a triangle.

• An angle inside the triangle.

• An angle formed by the extension of one side of a triangle.

What are remote interior angles?

• The two interior angles of a triangle adjacent to the exterior angle.

• The two interior angles of a triangle not adjacent to the exterior angle.

• The two angles that form a linear pair with the exterior angle.

• The two exterior angles of a triangle.

If the exterior angle is 104 degrees and one remote interior angle is 56 degrees, what is the other remote interior angle?

• 54 degrees

• 52 degrees

• 50 degrees

• 48 degrees

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

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

In a triangle, if one interior angle is 76 degrees and the other two are 56 and 48 degrees, what is the exterior angle adjacent to the 76-degree angle?

• 76 degrees

• 104 degrees

• 56 degrees

• 48 degrees

How do you find the missing angle in a triangle using the Exterior Angle Theorem?

• Add the two remote interior angles.

• Subtract the exterior angle from 180 degrees.

• Add the exterior angle to the adjacent interior angle.

• Subtract the sum of the remote interior angles from 180 degrees.

If the exterior angle is 149 degrees and one remote interior angle is 125 degrees, what is the other remote interior angle?

• 22 degrees

• 24 degrees

• 28 degrees

• 26 degrees

In a problem where the exterior angle is given as 6x - 12 degrees and the remote interior angles are 2x + 3 and 3x - 2 degrees, what is the value of x?

• 11

• 12

• 10

• 13

If the exterior angle is 66 degrees, what is the measure of the adjacent interior angle?

• 120 degrees

• 114 degrees

• 124 degrees

• 130 degrees