Exploring Triangle Sum and Exterior Angles

What is an interior angle in a triangle?

• An angle outside the triangle

• An angle equal to 90 degrees

• An angle formed by extending a side

• An angle inside the triangle

Which angles are considered remote interior angles to an exterior angle?

• Angles equal to 90 degrees

• Angles adjacent to the exterior angle

• Angles outside the triangle

• Angles inside the triangle away from the exterior angle

According to the Exterior Angle Theorem, the measure of an exterior angle is equal to:

• The difference between the interior angles

• The sum of the interior angles

• The sum of its remote interior angles

• The measure of the adjacent interior angle

What does the Triangle Sum Theorem state?

• The sum of the angles in a triangle is 90 degrees

• The sum of the angles in a triangle is 180 degrees

• The sum of the angles in a triangle is 360 degrees

• The sum of the angles in a triangle is 270 degrees

If two angles in a triangle are 77 degrees and 54 degrees, what is the measure of the third angle?

• 69 degrees

• 49 degrees

• 79 degrees

• 59 degrees

In a triangle, if the angles are represented as 7x, 4x + 5, and 6x + 5, what is the value of x?

• 10

• 15

• 5

• 20

Using the value of x = 10, what is the measure of the angle represented by 4x + 5?

• 55 degrees

• 45 degrees

• 65 degrees

• 35 degrees

If two angles in a triangle are 58 degrees and 74 degrees, what is the measure of the third angle?

• 78 degrees

• 68 degrees

• 48 degrees

• 58 degrees

Using the Exterior Angle Theorem, if the remote interior angles are 74 degrees and 58 degrees, what is the measure of the exterior angle?

• 122 degrees

• 132 degrees

• 142 degrees

• 152 degrees

If the sum of two remote interior angles is 135 degrees, what is the measure of the exterior angle?

• 125 degrees

• 135 degrees

• 145 degrees

• 155 degrees