Exploring Triangle Angle Sum Theorem

What does the Triangle Sum Theorem state?

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

• The sum of the two longest sides of a triangle is greater than the third side.

• The sum of the three interior angles of a triangle is 180 degrees.

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

If a triangle has angles of 65 degrees and 57 degrees, what is the measure of the third angle?

• 55 degrees

• 57 degrees

• 60 degrees

• 58 degrees

In a right triangle, if one angle is 40 degrees, what is the measure of the other non-right angle?

• 60 degrees

• 90 degrees

• 40 degrees

• 50 degrees

Given a triangle with angles 20 degrees and 130 degrees, what is the measure of the third angle?

• 60 degrees

• 50 degrees

• 40 degrees

• 30 degrees

What is the measure of angle B if a triangle has angles 85 degrees and 50 degrees?

• 40 degrees

• 55 degrees

• 45 degrees

• 50 degrees

What is the measure of angle X if it forms a linear pair with an angle of 35 degrees?

• 115 degrees

• 125 degrees

• 135 degrees

• 145 degrees

According to the Vertical Angle Theorem, if two lines intersect, which angles are congruent?

• Adjacent angles

• Opposite angles

• Supplementary angles

• Complementary angles

If angle A is 130 degrees and forms a vertical angle with angle X, what is the measure of angle X?

• 130 degrees

• 50 degrees

• 60 degrees

• 70 degrees

What is the measure of angle R if it forms a linear pair with an angle of 95 degrees?

• 55 degrees

• 65 degrees

• 75 degrees

• 85 degrees

If angle P is 25 degrees and forms a linear pair with an angle of 155 degrees, what is the measure of angle P?

• 55 degrees

• 45 degrees

• 35 degrees

• 25 degrees