In the diagram above; O is the centre of the circle and |BD| = |DC|. If ∠DCB = 35°, find ∠BAO.

A. 20^o

B. 25^o

C. 30^o

D. 35^o

E. 40^o

In the diagram above, AO is perpendicular to OB. Find x

A. 7.5^o

B. 15^o

C. 22.5^o

D. 30^o

E. 38.6^o

In the diagram above, PQ is parallel to TU, ∠PQR = 50°, ∠QRS = 86° and ∠STU = 64°. Calculate the value of x.

A. 136^o

B. 120^o

C. 108^o

D. 100^o

E. 96^o

If log\(_{10}\) x = \(\bar{2}.3675\) and log\(_{10}\) y = \(\bar{2}.9738\), what is the value of x + y, correct lo three significant figures?

A. O.117

B. 0.118

C. 0.903

D. O.944

E. 0.946

In the diagram above, AB//CD, the bisector of ∠BAC and ∠ACD meet at E. Find the value of ∠AEC

A. 30^o

B. 45^o

C. 60^o

D. 75^o

E. 90^o

In the diagram above, AB//CD. What is the size of the angle marked x?

A. 103^o

B. 93^o

C. 77^o

D. 62^o

E. 52^o

The locus of a point which is equidistant from two given fixed points is the

A. perpendicular bisector of the straight line joining them

B. angle bisector of the straight lines joining the points to the origin

C. perpendiculars to the straight line joining them

D. parallel-line to the straight line joining them

E. a line making an acute angle with the line joining the two points

In the diagram above, the value of angles b + c is

A. 180^o

B. 90^o

C. 45^o

D. a^o

E. d^o

Which of the following angles is an exterior angle of a regular polygon?

A. 95^o

B. 85^o

C. 78^o

D. 75^o

E. 72^o

In ΔABC above, BC is produced to D, /AB/ = /AC/ and ∠BAC = 50^o. Find ∠ACD

A. 50^o

B. 60^o

C. 65^o

D. 100^o

E. 115^o