Problem 1 :

In the figure above, r || t. What is the value of x + y?
A) 37
B) 40
C) 43
D) 46
Solution :
Problem 2 :

In the figure above, m || n. If a = 50 and b = 120, what is the value of c?
A) 50
B) 60
C) 70
D) 80
Solution :
Problem 3 :

In the figure above, lines ℓ, m, and n are parallel. What is the value of x + y?
A) 160
B) 200
C) 230
D) 290
Solution :
Problem 4 :

In the figure above, ℓ || m. What is the value of x?
A) 30
B) 35
C) 40
D) 45
Solution :
Problem 5 :

In the figure below, ℓ || m, r ⊥ t and m∠1 = 32. Lines ℓ, r, and t intersect at one point. Find the following angle measures :
(i) m∠2
(ii) m∠3
(iii) m∠4
(iv) m∠5
Solution :
Problem 6 :

In the figure above, AB || CD and BC || DE. What is the value of x?
A) 47
B) 51
C) 55
D) 57
Solution :
Problem 7 :

In the figure above, r || t. What is the value of a + b?
A) 160
B) 175
C) 185
D) 200
Solution :
Problem 8 :

In the figure above, what is the value of x?
Solution :
Problem 9 :

In the figure above, PQ is parallel to ST. What is the measure of ∠QRS?
Solution :
Problem 10 :

In the figure above, find the value of x.
Solution :
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