Exploring Triangle Angle Theorems

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

• 90 degrees

• 270 degrees

• 180 degrees

• 360 degrees

If one angle in a scalene triangle is 50 degrees, what is true about the other angles?

• They are both 50 degrees

• They are equal to each other

• They are both less than 130 degrees

• One is greater than 50 degrees and the other is less

What does the exterior angle theorem state?

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

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

• The sum of the exterior angles is 360 degrees

• The exterior angle is twice the sum of the interior angles

If a triangle has angles measuring 51 and 47 degrees, what is the measure of the third angle?

• 92 degrees

• 78 degrees

• 88 degrees

• 82 degrees

What is the measure of an angle that forms a linear pair with an 82-degree angle?

• 180 degrees

• 98 degrees

• 90 degrees

• 82 degrees

In an isosceles triangle, if one base angle is 44 degrees, what is the measure of the other base angle?

• 136 degrees

• 90 degrees

• 44 degrees

• 88 degrees

In a triangle, if two angles measure 105 degrees and 35 degrees, what is the measure of the third angle?

• 45 degrees

• 40 degrees

• 30 degrees

• 50 degrees

If two parallel lines are cut by a transversal, and one of the corresponding angles measures 95 degrees, what is the measure of the other corresponding angle?

• 180 degrees

• 85 degrees

• 90 degrees

• 95 degrees

What is the measure of an angle that is vertical to a 135-degree angle?

• 180 degrees

• 90 degrees

• 135 degrees

• 45 degrees

How can the measure of an exterior angle be found?

• By dividing the sum of the interior angles by 2

• By multiplying the smallest interior angle by 2

• By adding the measures of the two remote interior angles

• By subtracting the interior angle from 180 degrees