Vocabulary
Complementary Angles add up to this degrees
90 degrees
Angle A and Angle B are complementary angles. Angle A is 35 degrees. Angle B measures this many:
55 degrees
Suppose <A = <B and <B is equal to 47 degrees. Find a measure of an angle that is supplementary to <A.
133 degrees
Angles 1 and 2 are vertical angles. Angle 2 is 101 degrees. Give the measure of angle 1
101 degrees
What are the conditions of an acute angle, an obtuse angle, and a right angle.
Acute: Must be less than 90 degrees
Obtuse: Must be greater than 90 degrees
Right: Must be exactly 90 degrees.
This is the name of the relationship of two angles that add up to 180 degrees
Supplementary Angles
If an angle measures 3o it's complement will measure this many:
87o
Suppose <A = <B and <B is equal to 89 degrees. Find a measure of an angle that is supplementary to <A.
m<A = 91 degrees
This is the sum of all vertical angles on a pair of intersecting lines
360o
Finish the sentence:
Supplementary is to a straight angle as _________________ is to a right angle.
Complementary
Angles that are congruent and opposite of each other that are formed by the intersection of two lines are called what?
Vertical Angles
If an angle measures 12o it's complement will measure this many:
78 degrees
If m<3 = 115 and m<3 and m<4 form a linear pair, find m<4.
m<4 = 65 degrees
Angles P and W are vertical angles. Solve for x if angle P measures 4x + 4 and angle W measures 2x + 50
x = 23
If you have an acute angle and another angle and they form a supplementary angle, how could you describe the other angle (acute, right, or obtuse)
Obtuse
There are this many degrees on a straight angle
180 degrees
Angles A and B are complementary. If m<A = 3x - 8 and m<B = 5x + 10.
Give the measure of Angle A and Angle B
x = 11, m<A = 25, m<B = 65
Angles Q and R are supplementary. If m<Q = 4x + 9 and m<R = 8x + 3, give the measure of each angle.
x = 14, m<Q = 65, m<R = 115
Angles <1 and <2 are vertical angles. <1 measures 75 degrees and <2 is equal to x-18. Find the value of x.
x = 93
How many degrees is a straight angle?
180 degrees
Adjacent angles share these two things
a line segment and a vertex.
If m<A and m<B are complementary angles and m<A = 2x - 6, and m<B = 3x + 11, give the measurements of m<A and m<B
x = 17, m<A = 28, m<B = 62
Angles C and D are supplementary. If m<C = 12x and m<D = 4(x+5), find x. Then find m<C and m<D.
x = 10 ; m<C = 120 ; m<D = 60
Angles <1 and <2 are vertical angles. <1 measures 25 degrees and <2 is equal to x+36. Find the value of x.
x = -11
List six names to identify triangles; indicate whether it is being identified by its angles or its sides
Sides: Scalene, Isosceles, Equilateral
Angles: Right, Acute, Obtuse