WAEC Mathematics Past Questions & Answers - Page 97

481.

In the diagram, O is the centre of the circle. OM||XZ and < ZOM = 25º. Calculate ∠XYZ

A.

50o

B.

55o

C.

60o

D.

65o

Correct answer is D

Angle in a semi-circle is 90º when OM is subtended 

: (90 - 25)º 

= 65º

482.

Find the value of m in the diagram

A.

34o

B.

27o

C.

23o

D.

17o

Correct answer is D

\(\bigtriangleup\) ABC, A + 153 = 180 (angles on straight line)

< A = 180 - 153 = 27

< B = 2m(vertically opposite angles)

< C = 7m (corresponding ngles)

< A + < B + < C = 180 (sum of int. angles of \(\bigtriangleup\))

i.e. 27 + 2m + 7m = 180o

9m = 180 - 27

9m = 153

m = \(\frac{153}{9}\)

= 17

483.

In the diagrams, |XZ| = |MN|, |ZY| = |MO| and |XY| = |NO|. Which of the following statements is true?

A.

\(\bigtriangleup\) ZYX = \(\bigtriangleup\) OMN

B.

\(\bigtriangleup\) YZX = \(\bigtriangleup\) NOM

C.

\(\bigtriangleup\) ZXY= \(\bigtriangleup\) MON

D.

\(\bigtriangleup\) XYZ= \(\bigtriangleup\) NOM

Correct answer is D

No explanation has been provided for this answer.

484.
485.

In the diagram, PRST is a square. If |PQ| = 24cm. |QR| = 10cm and < PQR = 90o, find the perimeter of the polygon PQRST.

A.

112cm

B.

98cm

C.

86cm

D.

84cm

Correct answer is A

No explanation has been provided for this answer.