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Worksheets

Angle Relationships Task Cards

Total questions: 56

Worksheet time: 5hrs 8mins

Name
Class
Date
1.

Find the measures of the angles.

m∠1 = (a)  

2.

Find the measures of the angles.

m∠2 = (a)  

3.

Find the measures of the angles.

m∠3 = (a)  

4.

Find the measures of the angles.

m∠1 = (a)  

5.

Find the measures of the angles.

m∠2 = (a)  

6.

Find the measures of the angles.

m∠3 = (a)  

7.

Find the measures of the angles.

m∠4 = (a)  

8.

If m∠CFG = 129, and m∠ HFD = 93, Find the m∠EFC = (a)   .

9.

If m∠CFG = 129, and m∠ HFD = 93, Find the m∠HFE = (a)   .

10.

If m∠CFG = 129, and m∠ HFD = 93, Find the m∠DFE = (a)   .

11.

If m∠CFG = 129, and m∠ HFD = 93, Find the m∠HFC = (a)   .

12.

If m∠CFG = 129, and m∠ HFD = 93, Find the m∠HFG = (a)   .

13.

Solve for x and y. What is the value of x?

(a)  

14.

Solve for x and y. What is the value of y?

(a)  

15.

Solve for x and y. What is the value of x?

(a)  

16.

Solve for x and y. What is the value of y?

(a)  

17.

Solve for x and y. What is the value of x?

(a)  

18.

Solve for x and y. What is the value of y?

(a)  

19.

Solve for x and y. What is the value of x?

(a)  

20.

Solve for x and y. What is the value of y?

(a)  

21.

If RT bisects ∠QRS, m∠QRT = 15x – 2, and m∠QRS = 27x + 5, find the value of x.

(a)  

22.

If RT bisects ∠QRS, m∠QRT = 15x – 2, and m∠QRS = 27x + 5, find m∠QRS.



(a)  

23.

If DE bisects ∠ABC, find the value of x if m∠ABC = 7x + 29 and m∠DBC = 99º.

(a)  

24.

If QK bisects ∠MQR, QN ⊥ LM, and m∠MQK = 34º, find each missing measure.

m∠MQR = (a)  

25.

If QK bisects ∠MQR, QN ⊥ LM, and m∠MQK = 34º, find each missing measure.

m∠LQR = (a)  

26.

If QK bisects ∠MQR, QN ⊥ LM, and m∠MQK = 34º, find each missing measure.

m∠NQP = (a)  

27.

If QK bisects ∠MQR, QN ⊥ LM, and m∠MQK = 34º, find each missing measure.

m∠PQK = (a)  

28.

If QK bisects ∠MQR, QN ⊥ LM, and m∠MQK = 34º, find each missing measure.

m∠NQK = (a)  

29.

If UT ⊥ RV, m∠TUW = x + 10, and m∠WUV = 4x – 15, find each missing measure.

x = (a)  

30.

If UT ⊥ RV, m∠TUW = x + 10, and m∠WUV = 4x – 15, find each missing measure.

m∠TUW = (a)  

31.

If UT ⊥ RV, m∠TUW = x + 10, and m∠WUV = 4x – 15, find each missing measure.

m∠WUV = (a)  

32.

If UT ⊥ RV, m∠TUW = x + 10, and m∠WUV = 4x – 15, find each missing measure.

m∠SUV = (a)  

33.

If UT ⊥ RV, m∠TUW = x + 10, and m∠WUV = 4x – 15, find each missing measure.

m∠SUT = (a)  

34.

If BF bisects ∠DBC, m∠DBF = 8x – 10, and m∠FBC = 5x + 23, find each missing measure.

x = (a)  

35.

If BF bisects ∠DBC, m∠DBF = 8x – 10, and m∠FBC = 5x + 23, find each missing measure.

m∠DBF = (a)  

36.

If BF bisects ∠DBC, m∠DBF = 8x – 10, and m∠FBC = 5x + 23, find each missing measure.

m∠DBC = (a)  

37.

If BF bisects ∠DBC, m∠DBF = 8x – 10, and m∠FBC = 5x + 23, find each missing measure.

m∠CBE = (a)  

38.

If BF bisects ∠DBC, m∠DBF = 8x – 10, and m∠FBC = 5x + 23, find each missing measure.

m∠ABE = (a)  

39.

If BF bisects ∠DBC, m∠DBF = 8x – 10, and m∠FBC = 5x + 23, find each missing measure.

m∠ABF = (a)  

40.

∠1 and ∠2 form a linear pair. If m∠1 = 6x + 1 and m∠2 = 2x – 5, find the measure of ∠1.

(a)  

41.

∠1 and ∠2 form a linear pair. If m∠1 = 6x + 1 and m∠2 = 2x – 5, find the measure of ∠2.

(a)  

42.

∠A and ∠B are complementary angles. If m∠A = x + 10 and m∠B = 13x – 4, find the m∠A.

(a)  

43.

∠A and ∠B are complementary angles. If m∠A = x + 10 and m∠B = 13x – 4, find the m∠B.

(a)  

44.

∠1 and ∠2 are vertical angles. If m∠1 = 3x + 21 and m∠2 = 5x – 35, find the m∠1.

(a)  

45.

∠1 and ∠2 are vertical angles. If m∠1 = 3x + 21 and m∠2 = 5x – 35, find the m∠2.

(a)  

46.

Lines a and b intersect forming two adjacent angles, ∠1 and ∠2. If m ∠1 = 7x – 8 and m ∠2 = 11y + 2, find

the values of x and y

so that a ⊥ b.

x = (a)  

47.

Lines a and b intersect forming two adjacent angles, ∠1 and ∠2. If m ∠1 = 7x – 8 and m ∠2 = 11y + 2, find

the values of x and y

so that a ⊥ b.

y = (a)  

48.

∠1 and ∠2 form a linear pair. If m∠1 is eight more than m∠2 find the measures of both angles.

m∠1 = (a)  

49.

∠1 and ∠2 form a linear pair. If m∠1 is eight more than m∠2 find the measures of both angles.

m∠1 = (a)  

50.

∠F and ∠G are supplementary angles. If m∠F is two less than six times the measure of ∠G, find the measures of both angles.

m∠F = (a)  

51.

∠F and ∠G are supplementary angles. If m∠F is two less than six times the measure of ∠G, find the measures of both angles.

m∠G = (a)  

52.

∠Q and ∠R are complementary angles. If m∠Q is nine less than twice the measure of ∠R, find

m∠Q = (a)   .

53.

∠Q and ∠R are complementary angles. If m∠Q is nine less than twice the measure of ∠R, find

m∠R = (a)   .

54.

∠X is complementary to ∠Y and supplementary to ∠Z. If ∠Z is eight less than three times ∠X, find the measures of all three angles.

m∠X = (a)  

55.

∠X is complementary to ∠Y and supplementary to ∠Z. If ∠Z is eight less than three times ∠X, find the measures of all three angles.

m∠Y = (a)  

56.

∠X is complementary to ∠Y and supplementary to ∠Z. If ∠Z is eight less than three times ∠X, find the measures of all three angles.

m∠Z = (a)