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WAEC Mathematics Past Questions & Answers - Page 290

1,446.

In the diagram above, QRS is a straight line, QP//RT, PRQ = 56°, ∠QPR =84° and ∠TRS = x°. Find x

28°

40°

44°

84°

124°

View answer & explanation

Correct answer is B

< PQR = 180° - (84° + 56°)

= 40°

$\therefore$ x = 40° (corresponding angles QP// RT)

1,447.

Two chords PQ and RS of a circle when produced meet at K. If ∠KPS = 31^o and ∠PKR = 42^o, find ∠KQR

11^o

73^o

107^o

138^o

149^o

View answer & explanation

Correct answer is C

No explanation has been provided for this answer.

1,448.

In the diagram above, |PQ| = |QR|, |PS| = |RS|, ∠PSR = 30^o and ∠PQR = 80^o. Find ∠SPQ.

15^o

25^o

40^o

50^o

55^o

View answer & explanation

Correct answer is B

Join PR
QRP = QPR
= 180 - 80 = ¹⁰⁰/₂₀ = 50^o
SRP = SPR
= 180 - 30 = ¹⁵⁰/₂ = 75^o
∴ SPQ = SPR - QPR
= 75 - 50 = 25^o

1,449.

In the diagram above, |QR| = 12cm and |QS| = 10cm. If ∠PQR = 90°, ∠RSQ = 90° and PSQ is a straight line, find |PS|

3.3cm

4.4cm

5cm

5.5cm

6.6cm

View answer & explanation

Correct answer is B

$\frac{PQ}{RQ} = \frac{RQ}{SQ}$ (Similar triangles)

$\therefore \frac{PS + 10}{12} = \frac{12}{10}$

$10 (PS + 10) = 12 \times 12$

$10 PS + 100 = 144 \implies 10 PS = 44$

$PS = 4.4 cm$

1,450.

The sum of an interior angles of a regular polygon is 30 right angles. How many sides has the polygon?

34 sides

30 sides

26 sides

17 sides

15 sides

View answer & explanation

Correct answer is D

Sum of interior angles in a polygon = $(2n - 4) \times 90°$

$\therefore (2n - 4) \times 90° = 30 \times 90°$

$\implies 2n - 4 = 30$

$2n = 34 \implies n = 17$

The polygon has 17 sides.

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