Jamb Mathematics Questions - Properties of angles and lines
Question 6:
A triangle has angles 30o, 15o and 135o. The side opposite to the angle 30o is length 6cm. The side opposite to the angle 135o is equal to
- A 12cm
- B 6cm
- C 6\(\sqrt{2}\)cm
- D 12\(\sqrt{2}\)cm
Question 7:
If sec2 \(\theta\) + tan2 \(\theta\) = 3, then the angle \(\theta\) is equal to
- A 30<sup style='font-size: smaller;'>o</sup>
- B 45<sup style='font-size: smaller;'>o</sup>
- C 60<sup style='font-size: smaller;'>o</sup>
- D 90<sup style='font-size: smaller;'>o</sup>
- E 105<sup style='font-size: smaller;'>o</sup>
Question 8:
P and Q are fixed points and X is a variable point which moves so that angle PXQ = 45o. What is the locus of x?
- A A pair of straight lines parallel to PQ
- B The perpendicular bisector of PQ
- C An arc of a circle passing through P and Q
- D A circle with diameter PQ
- E The bisector of angle PXQ
Question 9:
A pentagon has four of its angles equal. If the size of the fifth angle is 60o, Find the size of each of the four equal angles.
- A 60<sup style='font-size: smaller;'>o</sup>
- B 108<sup style='font-size: smaller;'>o</sup>
- C 120<sup style='font-size: smaller;'>o</sup>
- D 150<sup style='font-size: smaller;'>o</sup>
- E None of the above
Question 10:
In the figure, If PT is parallel to RS, PQ = PT, and angle SQT = 90o, Find x
- A 35<sup style='font-size: smaller;'>o</sup>
- B 50<sup style='font-size: smaller;'>o</sup>
- C 55<sup style='font-size: smaller;'>o</sup>
- D 70<sup style='font-size: smaller;'>o</sup>
- E 80<sup style='font-size: smaller;'>o</sup>