Mastering Triangle Angles and Parallel Line Relationships

A triangle has angles measuring 40 degrees and 70 degrees. What is the measure of the third angle?

• 90 degrees

• 60 degrees

• 80 degrees

• 70 degrees

Two parallel lines are cut by a transversal, creating an angle of 120 degrees. What is the measure of the corresponding angle on the opposite side?

• 150 degrees

• 60 degrees

• 120 degrees

• 90 degrees

In a triangle, one angle measures 90 degrees and another measures 45 degrees. What is the measure of the third angle?

• 75 degrees

• 45 degrees

• 30 degrees

• 60 degrees

A pair of parallel lines are intersected by a transversal, creating an angle of 75 degrees. What is the measure of the alternate interior angle?

• 90 degrees

• 45 degrees

• 60 degrees

• 75 degrees

A triangle has angles that are in the ratio 2:3:5. What are the measures of the angles?

• 30 degrees, 60 degrees, 90 degrees

• 20 degrees, 70 degrees, 90 degrees

• 36 degrees, 54 degrees, 90 degrees

• 45 degrees, 45 degrees, 90 degrees

Two parallel lines are crossed by a transversal, creating one angle of 65 degrees. What is the measure of the vertically opposite angle?

• 45 degrees

• 75 degrees

• 65 degrees

• 90 degrees

In a quadrilateral, three angles measure 80 degrees, 95 degrees, and 85 degrees. What is the measure of the fourth angle?

• 110 degrees

• 90 degrees

• 95 degrees

• 100 degrees

A triangle has one angle that is twice the measure of the second angle, and the third angle is 30 degrees. What are the measures of the first two angles?

• First angle: 90 degrees, Second angle: 60 degrees

• First angle: 100 degrees, Second angle: 50 degrees

• First angle: 120 degrees, Second angle: 30 degrees

• First angle: 80 degrees, Second angle: 40 degrees

Two parallel lines are cut by a transversal, creating an angle of 110 degrees. What is the measure of the same-side interior angle?

• 90 degrees

• 100 degrees

• 80 degrees

• 70 degrees

In a triangle, the first angle is 10 degrees less than twice the second angle, and the third angle is 20 degrees more than the second angle. What are the measures of all three angles?

• First angle: 90 degrees, Second angle: 50 degrees, Third angle: 70 degrees

• First angle: 80 degrees, Second angle: 45 degrees, Third angle: 65 degrees

• First angle: 70 degrees, Second angle: 40 degrees, Third angle: 60 degrees

• First angle: 75 degrees, Second angle: 42.5 degrees, Third angle: 62.5 degrees