ALTERNATE ANGLES PRACTICE WORKSHEET

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Find the value of unknown of the following :

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Problem 9 :

Solution

Problem 10 :

Solution

Problem 11 :

Copy and complete the statement. List all possible correct answers.

alternate-interior-angles-q1

a) ∠BCG and ____ are corresponding angles.

b) ∠BCG and ____ are consecutive interior angles.

c) ∠FCJ and ____ are alternate interior angles.

d) ∠FCA and ____ are alternate exterior angles.

Solution

Problem 12 :

classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles.

alternate-interior-angles-q2.png

a) ∠5 and ∠1

b) ∠11 and ∠13

c) ∠6 and ∠13

d) ∠2 and ∠11

Solution

Problem 13 :

Identify all pairs of angles of the given type.

alternate-interior-angles-q3.png

a. corresponding

b. alternate interior

c. alternate exterior

d. consecutive interior

Solution

Problem 14 :

a) What do you notice about the following angle pairs?

alternate-angles-q2

x° and y°

y° and z°

x° and z°

b. Find the values of the indicated variables. Do not use a protractor to measure the angles.

x =

y =

z =

w =

v =

Explain how you obtained each answer.

Solution

Problem 15 :

What do you notice about the following angle pairs?

alternate-interior-angles-q4.png

a° and b°

c° and d°

c° and e°

b. Find the values of the indicated variables. Do not use a protractor to measure the angles.

c =

d =

e =

Explain how you obtained each answer.

Solution

Answer Key

1)  x = 35

2)  x = 61°

3)  x = 4

4)  x = 6

5)  x = 4

6)  x = 7

7)  x = -11

8)  x = 8

9)  x = 12

10)  x = 9

11) a) ∠BCG and ∠HJG are corresponding angles.

b) ∠BCG and ∠CJH are consecutive interior angles.

c) ∠FCJ and ∠DFC are alternate interior angles.

d) ∠FCA and ∠GJH are alternate exterior angles.

12) 

a) ∠5 and ∠1 are corresponding angles.

b) ∠11 and ∠13 are consecutive interior angles.

c) ∠6 and ∠13 are co-interior or consecutive interior angles.

d) ∠2 and ∠11 are alternate interior angles.

13) 

a. corresponding

  • ∠1 and ∠5
  • ∠2 and ∠6
  • ∠3 and ∠7
  • ∠4 and ∠8

b. alternate interior

  • ∠4 and ∠5
  • ∠2 and ∠7

c. alternate exterior

  • ∠3 and ∠6
  • ∠1 and ∠8

d. consecutive interior

  • ∠4 and ∠7
  • ∠2 and ∠5

14)

a) 

x° and y° are linear pair of angles, then they add upto 180 degree.

y° and z° are linear pair of angles, then they add upto 180 degree.

x° and z° are vertical angles, they must be equal.

b)

x = 72

y = 108 (Vertical angles)

z = 72

w = 72(corresponding angles)

v = 36

15)

a) 

  • a° and b° are complementary angles
  • c° and d° are supplementary angles.
  • c° and e° are vertical angles.

b)

  • c = 90
  • d = 90
  • e = 90

Question 1 :

A ___ is simply two angles that are next to each other and together they form a straight line.

Solution

Question 2 :

In parallel cut by a transversal, one of the property is each pair of interior alternate angles are ______ ?

Solution

Question 3 :

In parallel cut by a transversal, one of the property is each pair of corresponding angles are ___________ ?

Solution

Question 4 :

The sum of two angles in a linear pair is always ?

Solution

Question 5 :

This line passes through two lines in the same plane at two distinct points.

Solution

Question 6 :

Lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Solution

Question 7 :

In parallel cut by a transversal, one of the property is each pair of vertical opposite angles are __________

Solution

Question 8 :

Two angles are called ______ when their measures add upto 180 degree

Solution

Question 9 :

The _______ says that if you add the measures of the two remote interior angles, you get the measure of the exterior angle.

Solution

Question 10 :

The measure of the exterior angle equals the sum of the two ___________

Solution

Question 11 :

Classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles

parallel-lines-and-transversal-quiz-q1

a) ∠5 and ∠1

b) ∠11 and ∠13

c) ∠6 and ∠13

d) ∠2 and ∠11

Solution

Question 12 :

In a pair of complementary angles the measurement of the larger angle is 71 degree, what is the measurement of the smaller angle ?

Solution

Question 13 :

In a complementary angles, the measurement of one angle is 28, what is the measurement of the other angle ?

Solution

Question 14 :

The supplement of an angle is 38 more than the angle. What are the measurements of two angles ?

Solution

Answer Key

1) supplementary or linear pair.

2)  equal

3)  equal.

4) 180 degree.

5) Transversal line

6) Parallel lines

7) Vertically opposite angles are equal.

8) supplementary

9) The exterior angle theorem

10) remote interior angles.

11) 

a) ∠5 and ∠1 are at the same positions, they are known as corresponding angles.

b) ∠11 and ∠13 lies inside on the same side of the transversal, then they are known as co-interior angles.

c) ∠6 and ∠13 lies inside on the same side of the transversal, then they are known as co-interior angles.

d) ∠2 and ∠11 lies at the alternate position, then they are called alternate interior angles.

12)  the required angle is 19 degree

13)  the other angle is 62 degree.

14) the required angles are 71 and 109.

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