7th Grade Angles

Vocabulary

100

Complimentary Angles add up to how many degrees?

90 degrees

200

What is the name of the relationship of two angles that add up to 180 degrees?

Supplementary Angles

300

Angles that are congruent and opposite of each other that are formed by the intersection of two lines are called what?

Vertical Angles

400

How many degrees are in a Triangle? In a Quadrilateral?

180 degrees; 360 degrees

500

Define an equilateral triangle

 An equilateral has 3 sides and 3 angles congruent

Complimentary Angles

100

Angle A and Angle B are complementary angles.  Angle A is 35 degrees. How many degrees is Angle B?

55 degrees

200

What is the complement of an angle measuring 12 degrees?

78 degrees

300

Two complementary angles have the same angle measurement. What are they?

45^o and 45^o

400

Angles A and B are complementary.  If m<A = 3x - 8 and m<B = 5x + 10, what is the measure of each angle?

x = 11, m<A = 25, m<B = 65

500

If m<A and m<B are complementary angles and m<A = 2x - 6, and m<B = 3x + 11, what is the measurements of m<A and m<B?

x = 17, m<A = 28, m<B = 62

Supplementary Angles

100

Suppose <A = <B and <B is equal to 47 degrees.  Find a measure of an angle that is supplementary to <A.

133 degrees

200

If m<3 = 115 and m<3 and m<4 form a linear pair, find m<4. 

m<4 = 65 degrees

300

Angles Q and R are supplementary.  If m<Q = 4x + 9 and m<R = 8x + 3, what is the measure of each angle?

x = 14, m<Q = 65, m<R = 115

400

Angles Q and R are supplementary.  If m<Q = 4x  and m<R =5x  what is the measure of each angle?

m<Q =80  m<R =100

500

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

Vertical Angles

100

Which of the following pairs are supplementary angles?

A) 45^o-45^o

B) 90^o-90^o

B

200

Angles 1 and 2 are vertical angles.  If angle 2 is 101 degrees, how many degrees is angle 1?

101 degrees

300

Find the sum of complementary and supplemantary angles of 30^o?

60 + 150 = 210

400

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

500

Angles <1 and <2 are vertical angles.  <1 measures 2x+9 degrees and <2 is equal to x+64.  Find the value of x.

55

Angles in a Triangle and Quadrilateral

100

In triangle ABC, angle A is 30 degrees, angle B is 25 degrees, how many degrees is angle C?

125 degrees

200

In quadrilateral ABCD, angle A is 70 degrees, angle B is 65 degrees, angle C is 110 degrees, how many degrees is angle D?

115 degrees

300

In triangle DEF, m<D = 2x, m<E = 4x, and m<F = 6x, what is the value of x?

x = 15

400

In quadrilateral ALDO, m<A = 60 degrees, m<L = 5x, m<D = 3x + 10, and m<O = 2x, what is the value of x?

x = 29

500

In isosceles triangle ABC, angles A and B are congruent measuring 3x -14 and m<C = 2x.  What is the measurement of each angle?

x = 26, m<A = 64, m<B = 64, m<C = 52