Angle Measures
Complementary & Supplementary
Angle Pairs
Solve
Vocabulary
100
How many degrees is angle ABC on the protractor?
Angle ABC is 40 degrees
100
What type of angle do supplementary angles sum to?
Supplementary angles add up to 180 degrees which is straight angle.
100
What are angles 1 and 5 called, and why are they called that?
Angles 1 and 5 are called corresponding angles because they are in the same place in relation to different parallel lines- their spots correspond to each other.
100
What is the measure of angle 1 and angle 2 in the picture? Explain how you arrived at your answers.
Measure/angle 1=82 because it is a corresponding angle. Measure/angle 2 is supplementary to angle 1. So, 180-82=98°.
100
What are the lines in the photo called and why?
The red lines are skew lines because they lie in different planes and will never intersect.
200
What type of angle is pictured on the protractor below?
Obtuse Angle
200
If angles A and B are complementary and angle A is 51°, then how many degrees is angle B?
Angle B is 90-51=39°
200
Name the vertical angles in the diagram below, and explain why they are vertical angles.
Angles 3/5 and 4/6 are vertical angles because they are opposite each other in an intersection of two lines.
200
What is the measure of angle RQP?
140°
200
What type of line is line P in the diagram?
The line P in the picture is perpendicular because it intersects at a right angle.
300
What type of angle is shown below? What is the range of degrees for that type?
Reflex; ranges from over 180 degrees to 360 degrees
300
What is the measure for angle HJL?
Angle HJL is 90-40=50°
300
What term can you use to describe the relationship between angles 1 and 2 in the diagram below? What about the relationship between angles 2 and 3?
Angles 1 and 2 are interior angles (alternate) because they are inside the parallel lines. Angles 2 and 3 are vertical because they are opposite each other around two lines that intersect each other.
300
Use the Consecutive Interior Angles Theorem to solve for x in the diagram.
7x-8+62=180; 7x+54=180; 7x=126; x=18. The angle is 7(18)-8=118.
300
What does "equidistant" mean in relation to parallel lines in the photo?
Equidistant means that the two parallel lines have the same width between them as you travel along the lines.
400
What is the difference between an obtuse angle and a straight angle in terms how they look and their degrees?
An obtuse angle is an angle that ranges from over 90 degrees to 180 degrees whereas a straight angle is one that measures 180 degrees.
400
Name two pairs of supplementary angles in this picture.
Angles 3 and 4 are supplementary along with angles 5 and 6.
400
How are angles 1 and 5 related to each other?
Angles 1 and 5 are exterior alternate angles.
400
Why is line CP not a perpendicular bisector in the diagram?
Line CP is not a bisector because it does not split AB into two equal parts.
400
How does a perpendicular bisector line differ from a perpendicular line?
A perpendicular bisector line cuts another line in half whereas a perpendicular line just intersects with another line.
500
Explain how to measure an angle with a protractor.
Angles are placed underneath the protractor. The inclining side on the angle lines up with the scale of the protractor. The marking on the scale is the degree of the angle.
500
Which angles in the diagram are supplementary according to the Interior Consecutive Angles Theorem? What does supplementary mean?
Angles 3/5, 4/6 are supplementary, which means they add up to 180 degrees.
500
Write a statement that describes the measures of angles 7 and 8 in the diagram below.
Measure/angle 7= measure/angle 8 because the two angles are alternate exterior angles.
500
What is the length of a runway if A is (5,8) and B is (8,-2)?
The distance formula is:
A(5,8) and B(8,-2)
x1=5; y1=8; x2=8; y2=-2
XY= √(x1-x2)2 + (y1-y2)
XY= √(5-8)2 + (8-(-2))2
XY= √(-3)2 + (10)2
XY= √(9+100)
XY= √109
500
What is the midpoint M for the points P1(1,4) and P2(-3,5)?
The midpoint solution is:
P1(1,4) and P2(-3,5)
x1=1; y1=4; x2=-3; y2=5
midpoint= (x1+x2)/2, (y1+y2)/2
=(1-3)/2, (4+5)/2
=(-2)/2, (9)/2
=(-1, 4.5)