Euclidean Geometry - Jamb Mathematics Past Questions and Answers

Question 46:

• JAMB 1979

Find x in the diagram below.

A. 3\(\sqrt{3}\)
B. \(\frac{3(\sqrt{3} - 1)}{\sqrt{3} + 1}\)
C. \(\frac{(\sqrt{3} - 1)}{\sqrt{3} + 1}\)
D. \(\frac{3 - 1}{\sqrt{3} + 1}\)

Question 47:

• JAMB 1980

In triangle FGB, < G = 90^o, < H = 60^o, while in triangle XYZ, < X = 60^o and < Y = 30^o. Form XYZ write down the ratio equal to \(\frac{FG}{FH}\)

A. \(\frac{YX}{ZX}\)
B. \(\frac{YX}{YZ}\)
C. \(\frac{ZX}{YZ}\)
D. \(\frac{YZ}{XY}\)

Question 48:

• JAMB 1980

A pentagon has four of its angles equal. If the size of the fifth angle is 60^o, Find the size of each of the four equal angles.

A. 60^o
B. 108^o
C. 120^o
D. 150^o
E. None of the above

Question 49:

• JAMB 1980

In the figure, PQ\\SR, ST\\, ST\\RQ, PS = 7cm, PT = 7cm, SR = 4cm. Find the ratio of the area QRST to the area of PQRS.

A. 56.77
B. 56.105
C. 28:105
D. 28:49
E. 56:49

Question 50:

• JAMB 1980

In the figure, If PT is parallel to RS, PQ = PT, and angle SQT = 90^o, Find x

A. 35^o
B. 50^o
C. 55^o
D. 70^o
E. 80^o