WAEC Mathematics Past Questions & Answers - Page 261

1,301.

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

20^o

80^o

100^o

120^o

140^o

View answer & explanation

Correct answer is B

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

1,302.

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

58^o

68^o

78^o

90^o

112^o

View answer & explanation

Correct answer is D

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

1,303.

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

a + b = 198^o

a + b = 180^o

a + b = 162^o

a + b = 100^o

a + b = 80^o

View answer & explanation

Correct answer is A

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

1,304.

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

11^o

39¹/₂

79^o

90^o

101^o

View answer & explanation

Correct answer is E

No explanation has been provided for this answer.

1,305.

In the diagram above, KLMN is a cyclic quadrilateral. /KL/ = /KN/, ∠NKM = 55^o and ∠KML = 40^o. Find ∠LKM

35^o

40^o

45^o

50^o

55^o

View answer & explanation

Correct answer is C

No explanation has been provided for this answer.

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