Question

5. State the kind of angle that is formed between the following directions.
(i) East and North
(ii) North and South
(iii) East and West (iv) South and West
6. How many degrees are there in an angle between the hands of a clock when it is.
(i) 12 o'clock
(ii) 9 o'clock
(iii) 6 o'clock
(iv) 3 o'clock
7. Calculate how many degrees are there in.
(1)
right angle (ii) three right angles (iii)
2
right angle (iv) four right angles
3
8. Classify the following angles in acute, obtuse or reflex angle.
(ii) 135°
(iii) 240°
(vi) 207°
(vii) 300°
(viii) 160°
11 /
(iv) 950
(i) 70°
(v) 17°​

Answer 1

Step-by-step explanation:

1. Answer: (i) East and west directions form an angle of 180˚, which is a straight angle. (ii) East and north directions form an angle of 90˚, which is a right angle. (iii) North and north-east directions form an angle of 45˚, which is an acute angle.
2. (iii) At 12 o'clock the angle formed between the hour hand and the minute hand is a complete angle, i.e. 0°. This is because the hour hand and minute hand coincides to each other at 12 o'clock. (iv) At 9 o'clock the angle formed between the hour hand and the minute hand is a right angle, i.e. 90°.
3. (i) One right angle has 90°°.
4. (ii)  Two right angles have 90°° + 90°° = 180°°.
5. (iii) Three right angles have 90°° + 90°° + 90°° = 270°°.
6. (iv)  Four right angles have 90°° + 90°° + 90°° + 90°° = 360°°.
7. (v) 23×90=60°23×90=60°
8. (vi) (1+12)right angles =32×90=135°

Answer 2

Answer:

(5) (i) East and North (6) (i) 12o'clock (7) (iv) 4 (8)(ii) Obtuse Angles (iii) actue , Obtuse ,reflex ,