Mathematics carries the highest weight in AISSEE — 150 of 300 marks in Class 6 and 200 of 400 marks in Class 9 — and it is also a key section of the RMS CET. Practise these 10 MCQs on Lines and Angles, then check your answers and step-by-step solutions in the answer key at the end.
Quick facts: AISSEE 2027 will be held on Sunday, 31 January 2027. There is no negative marking, so attempt every question. Online applications are open until 2 December 2026 on exams.nta.nic.in/sainik-school-society.
Practice Questions
Q1. What is the complement of an angle of 55°?
(A) 125°
(B) 55°
(C) 35°
(D) 305°
Q2. What is the supplement of an angle of 35°?
(A) 55°
(B) 325°
(C) 35°
(D) 145°
Q3. An angle of 360° is called a/an ________.
(A) Complete angle
(B) Right angle
(C) Reflex angle
(D) Acute angle
Q4. Two angles of a triangle are 45° and 75°. Find the third angle.
(A) 60°
(B) 240°
(C) 30°
(D) 70°
Q5. What is the angle between the hour hand and minute hand of a clock at 6:00?
(A) 195°
(B) 180°
(C) 150°
(D) 90°
Q6. What is the supplement of an angle of 99°?
(A) 9°
(B) 81°
(C) 261°
(D) 99°
Q7. An angle of 45° is called a/an ________.
(A) Complete angle
(B) Straight angle
(C) Acute angle
(D) Right angle
Q8. Two angles of a triangle are 30° and 80°. Find the third angle.
(A) 250°
(B) 70°
(C) 50°
(D) 80°
Q9. What is the angle between the hour hand and minute hand of a clock at 2:30?
(A) 120°
(B) 75°
(C) 255°
(D) 105°
Q10. What is the complement of an angle of 15°?
(A) 165°
(B) 15°
(C) 75°
(D) 345°
Answer Key with Explanations
(C) 35° — Complementary angles add up to 90°: 90° − 55° = 35°.
(D) 145° — Supplementary angles add up to 180°: 180° − 35° = 145°.
(A) Complete angle — 360° is a complete angle.
(A) 60° — Angles of a triangle add to 180°: 180 − 45 − 75 = 60°.
(B) 180° — Angle = |30H − 5.5M| = |30×6 − 5.5×0| = 180°.
(B) 81° — Supplementary angles add up to 180°: 180° − 99° = 81°.
(C) Acute angle — 45° is less than 90°, so it is an acute angle.
(B) 70° — Angles of a triangle add to 180°: 180 − 30 − 80 = 70°.
(D) 105° — Angle = |30H − 5.5M| = |30×2 − 5.5×30| = 105°.
(C) 75° — Complementary angles add up to 90°: 90° − 15° = 75°.
How did you score?
9–10 correct: excellent — move on to a full-length mock test. 6–8: good — revise the explanations of the questions you missed. Below 6: study this topic again from your NCERT book and retry these questions after two days.
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