WAEC Past Questions and Answers - Page 3994

19,966.

If sin\(\theta\) cos\(\theta\), for 0o \(\leq\) θ \(\leq\) 360o, find the value of \(\theta\)

A.

45o, 225o

B.

135o, 315o

C.

45o, 315o

D.

135o, 225o

E.

45o, 135o

Correct answer is A

No explanation has been provided for this answer.

19,967.

In the diagram above, AB, CD and XY are straight lines intersecting at W. Find ∠CWX

A.

20o

B.

80o

C.

100o

D.

120o

E.

140o

Correct answer is B

a = 40o (vertical opp. ∠s are equal) b = 60o
a + b + c = 180o (sum of ∠s on a str line)
40o + 60o + c = 180o
C = 180o - 100o
C = 80o

19,968.

The trapezium PQRS parallel to SR,∠PQS = 34o and ∠SPQ = 2 ∠SRQ. Find the size of, SQR

A.

58o

B.

68o

C.

78o

D.

90o

E.

112o

Correct answer is D

considering SPQ
S = 34o (base ∠s of Isos. Δ)
P = 180o - 68o = 112o
R = 122/2 = 56o
a = 34o (alt ∠s)
SQR = 180o - (56 + 34)
180o - 90o = 90o

19,969.

Two angles (a + 31) and (b - 49o) are adjacent angles on a straight line. Which of the following is true

A.

a + b = 198o

B.

a + b = 180o

C.

a + b = 162o

D.

a + b = 100o

E.

a + b = 80o

Correct answer is A

a + 31 + b - 49 = 180o(sum of angles on str line)
a + b - 18 = 180o
a + b = 180 + 18
a + b = 198o

19,970.

In the diagram above, ∠SPQ = 79o. Find ∠SRQ

A.

11o

B.

391/2

C.

79o

D.

90o

E.

101o

Correct answer is E

No explanation has been provided for this answer.