Angles

Alternate exterior angles

are two angles that are on the exterior of and , but on opposite sides of the traversal.

Two transversals cut a pair of parallel lines. If angle 11 and angle 12 are supplementary, how many degrees do they add up to?

180 degrees

If a transversal split two parallel lines, how many sets of interior angles would you have?

2 sets

Two transversals cut a pair of parallel lines. Angle 13 and angle 15 are corresponding angles. If angle 13 is 26 degrees, what is the measure of angle 15?

26 degrees

If angle A and B are alternate interior angles, and angle A is 36 degrees, how many degrees is angle B.

36 degrees

Laura was shown a transversal cutting two parallel lines. Angle 4 and angle 5 are alternate exterior angles. The measure of angle 4 is 38 degrees. What is the measure of angle 5?

38 degrees

Two transversals cut a pair of parallel lines. Angle 5 and angle 15 are corresponding angles. If angle 5 is 4 degrees, what is the measure of angle 15?

4 degrees

Two transversals cut a pair of parallel lines. How many pairs of alternate exterior angles are there?

4 pairs

When a transversal cuts two parallel lines, how many sets of exterior angles are formed?

4 sets

Lines l and m are split by a transversal. Angles A is 45 degrees, and Angle B is vertical to angle A. Angle C and B are alternate interior angles, what is the measure of angle C?

45 degrees

Two transversals cut a pair of parallel lines. Angle 11 and angle 16 are vertical angles. If angle 11 is 48 degrees, what is the measure of angle 16?

48 degrees

A transversal cuts two parallel lines and angle 4 and angle 8 are congruent angles. Angle 4 is 50 degress. What is the measure of angle 8?

50 degrees

Two transversals cut a pair of parallel lines. Angle 5 and angle 7 are corresponding angles. If angle 5 is 60 degrees, what is the measure of angle 7?

60 degrees

Lines q and g are split by a transversal. Angle A is correspondent to angle angle B. If angle A is 67 degrees, what is the measure of angle B?

67 degrees

Karen saw two transversals cutting two parallel lines. Angle 1 and angle 16 are alternate exterior angles. If the measure of angle 16 is 76 degrees, what is the measure of angle 1?

76 degrees

Two transversals cut a pair of parallel lines. How many pairs of alternate exterior angles are there?

8 pairs

Two transversals cut a pair of parallel lines. Angle 9 and angle 16 are vertical. If angle 9 is 82 degrees, what is the measure of angle 16?

82 degrees

Two transversals cut a pair of parallel lines. Angle 1 and angle 2 are supplementary angles. If angle 1 is 81 degrees, what is the measure of angle 2?

99 degrees

There are two parallel lines cut by a transversal. Angle 1 and angle 8 are alternate exterior angles. What does this say about their measures?

Their measures are equal

There are two parallel lines cut by a transversal. Angle 3 and angle 6 are alternate interior angles. What does this say about their measures?

Their measures are equal

Are corresponding angles of the same measure?

Yes

Can you have more than one transversal splitting a set of parallel lines ?

Yes

If angle 3 and angle 6 are alternate interior angles and angle 3 is 84 degrees, is the measure of angle 6 also 84 degrees?

Yes

Mark was taking a math exam. He was shown a transversal cutting into two parallel lines. Angle 2 and angle 7 are alternate exterior angles. Angle 2 is 58 degrees. Mark says that angle 7 is 58 degrees. Is Mark correct?

Yes

Two transversals cut a pair of parallel lines. Annie says that since angle 9 and angle 14 are vertical angles, they should have the same measure. Is she correct?

Yes, Annie is correct.

Two transversals cut a pair of parallel lines. Angle 8 and 9 are supplementary. Angle 8 is 30 degrees. Larry says angle 9 is 150 degrees. Is he right?

Yes, Larry is correct.

Alternate interior angle

are a pair of angles on the inner side of each of those two lines but on opposite sides of the traversal.

Two transversals cut a pair of parallel lines. Angle 8 and angle 16 are corresponding angles. If angle 8 is 16 degrees, what is the measure of angle 16?

16 degrees

What are parallel lines?

In geometry, parallel lines are lines in a plane which do not meet

Lucy was completing a math problem. She was shown a diagram of a transversal cutting two parallel lines. Angle 1 and angle 8 are alternate exterior angles. Angle 1 is 20 degrees. Lucy says that angle 8 is 160 degrees. Is she correct?

No

Two transversals cut a pair of parallel lines. Angle 9 and angle 14 are vertical angles. Angle 9 is 18 degrees. Mary says that angle 14 is 36 degrees. Is she correct?

No

Two transversals cut a pair of parallel lines. Kate said that since angle 1 and angle 6 are vertical, they should add up to 180 degrees. Is she correct?

No

Two transversals cut a pair of parallel lines. Patricia says that since angle 4 and 8 are supplementary, they should add up to 90 degrees. Is she correct?

No, Patrica is wrong.

What is a transversal?

(of a line) intersecting a system of lines.

There are two parallel lines cut by a transversal. Angle 2 is 70 degress. Angle 4 is supplementary to angle 2. What is the measure of angle 4?

110 degrees

Maria was cutting two celery sticks. They happened to be laying parallel to each other. Maria chops them with a knife and the situation reminds her of a transversal cutting two parallel lines. If she labeled each created angle with a number and angle 1, which is 13 degrees, and angle 8 are alternate exterior angles, what is the measure of angle 8?

13 degrees

Two transversals cut a pair of parallel lines. Angle 4 and angle 8 are supplementary. If the measure of angle 4 is 40 degrees, what is the measure of angle 8?

140 degrees

Two transversals cut a pair of parallel lines. Angles 15 and 16 are supplementary. If angle 15 is 37 degrees, what is the measure of angle 16?

143 degrees

What are exterior angles?

the angle between a side of a rectilinear figure and an adjacent side extended outward.

What are interior angles?

the angle between adjacent sides of a rectilinear figure.

Corresponding angles

the angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.