1. ∠6
2. x = 180 degrees - y
3. ∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.
4. ∠4 measures 103 degrees
5. The measure of angle x is 55 degrees
1.
(02.06)
The figure shown has two parallel lines cut by a transversal:
A pair of parallel lines is shown, crossed by a transversal. Angles are identified as 1, 2, 3, 4, 5, 6, 7, and 8. Angles 1-4 are on the top line clockwise from upper left. Angles 5-8 are on the lower line clockwise from upper left.
Use the figure to complete the sentence. (4 points)
∠3 and ____ are alternate interior angles.
∠2
∠6
∠5
∠8
2.
(02.06)
A pair of parallel lines is cut by a transversal, as shown:
A pair of parallel lines is shown cut by a transversal. Angle x is located in the upper right exterior next to the transversal, and angle y is located in the bottom left exterior corner of the transversal.
Which of the following best represents the relationship between angles x and y? (4 points)
x = 180 degrees − y
y = 180 degrees − x
x = y
x = 2y
3.
(02.06)
The figure below shows parallel lines cut by a transversal:
A pair of parallel lines is shown, cut by a transversal. Angle 7 is located in the upper right exterior corner on the top line, and angle 8 is located in the upper left exterior corner of the top line.
Which statement is true about ∠7 and ∠8? (4 points)
∠7 and ∠8 are supplementary because they are a pair of corresponding angles.
∠7 and ∠8 are complementary because they are a pair of adjacent angles on a straight line.
∠7 and ∠8 are congruent because they are a pair of adjacent angles on a straight line.
∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.
4.
(02.06)
In the figure below, lines m and n are parallel:
Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 4, and 3 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 8, and 7 in clockwise order from top left.
In the diagram shown, ∠2 measures 77 degrees. What is the measure of ∠4? (4 points)
5 degrees
77 degrees
103 degrees
180 degrees
5.
(02.06)
A pair of parallel lines is cut by a transversal:
A pair of parallel lines cut by a transversal is shown. The inside bottom right angle is labeled 85 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 25 degrees on the other.
What is the measure of angle x? (4 points)
50 degrees
55 degrees
60 degrees
80 degrees
1 answer