Exploring Triangle Sum and Exterior Angle Theorem

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

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

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

• 121 degrees

• 129 degrees

• 123 degrees

• 119 degrees

Given a straight line, if one angle is 104 degrees, what is the measure of the adjacent angle?

• 76 degrees

• 90 degrees

• 104 degrees

• 180 degrees

In a triangle, if one angle is 90 degrees and another is 43 degrees, what is the measure of the third angle?

• 47 degrees

• 37 degrees

• 57 degrees

• 53 degrees

If a 90-degree angle is bisected, what is the measure of each resulting angle?

• 30 degrees

• 45 degrees

• 90 degrees

• 60 degrees

In a triangle, if two angles are 45 degrees each, what is the measure of the third angle?

• 45 degrees

• 90 degrees

• 75 degrees

• 60 degrees

If two parallel lines are cut by a transversal, what is the relationship between alternate interior angles?

• They are equal

• They are complementary

• They are right angles

• They are supplementary

Given a triangle with angles 9x + 3, 11x - 21, and 5x - 2, what is the value of x if the sum of the angles is 180 degrees?

• 8

• 5

• 10

• 12

If an exterior angle of a triangle is 104 degrees and one of the opposite interior angles is 25 degrees, what is the measure of the other opposite interior angle?

• 81 degrees

• 79 degrees

• 75 degrees

• 77 degrees

In a triangle, if the exterior angle is 18x - 15 and the two opposite interior angles are 13x - 11 and 4x + 1, what is the value of x?

• 6

• 5

• 4

• 3