Page 97 - Maths Skill - 6

Lines and Angles 95

6. How many lines can intersect at one point? E. Assertion-Reason Based Questions
(i) two (ii) six Directions for Questions 1 to 2: In each of the

(iii) three (iv) infinite questions given below, there are two statements
7. A reflex angle ‘A’ is marked as Assertion (A) and Reason (R). Mark your
answer as per the codes provided below:
(i) 0° ≤ A < 90° (ii) 90° ≤ A ≤ 180° (a) Both A and R are true and R is the correct

(iii) 0° ≤ A < 180° (iv) 180° < A < 360° explanation of A.
8. The angle formed by opening any two adjacent (b) Both A and R are true but R is not the correct
figures of your hand is explanation of A.
(i) acute angle (ii) obtuse angle (c) A is true but R is false.
(iii) right angle (iv) reflex angle (d) A is false but R is true.

B. Fill in the Blanks Q. 1. Assertion (A) : A square has all four sides equal.
What is the angle between the hands of a clock when Reason (R) : A square is a regular polygon.
they show the time as Q. 2. Assertion (A) : A reflex angle is always greater
1. 12 noon ? _________ than an obtuse angle.

2. 6 o’clock ? _________ Reason (R) : An obtuse angle never exceeds
3. 7.50 p.m. ? _________ 180 °.
4. 6.15 a.m. ? _________
5. 9 a.m. ? _________ SUBJECTIVE TYPE QUESTIONS
F. Solve the following word problems
C. Write ‘T’ for true and ‘F’ for false statements 1. How many degrees are there in
1. An obtuse angle is an angle where measure is
less than 90°. (i) 3 right angle (ii) 1 straight angle
5 3
2. An acute angle lies between 0° and 90°. (iii) three right angle

3. An angle whose measure lies between 2. Classify the angles as acute, obtuse, reflex, right
180° and 360° is called a reflex angle. or straight angle

4. Sum of angles about a point is 360°. (i) 210° (ii) 300° (iii) 85° (iv) 97°

D. Case Study Based Questions 3. In the given fig. just by observation, name the
Dhruv’s house is in the East facing. He wants to go to acute and obtuse angles
park then he turns right and goes 30 m straight, then
turns again right and goes 10 m straight then turns 2 1
left and goes 10 m straight and from there again turns 3 4
right and goes 10 m straight to reach the park.

Answer the following questions on the basis of the 5 6
above data. 8 7
1. In which direction is Dhruv from its initial
position? 4. What is a line segment extended in one direction
2. He is performing Yoga with his head down and called?
3
legs up. His face is towards the west. He takes 5. In how many directions can a line segment be
4 extended?
turn to his left. In which direction will his legs be?