Question
Using ruler and compasses, construct the following angle:
75°
75°
✓
Answer
Steps of Construction :
(i) Draw a line segment BC.
(ii) With centre $B$ and a suitable radius draw an arc and cut off $P Q$, then $Q R$ of the same radius.
(iii) With centre Q and R, draw two arcs intersecting each other at S.
(iv) Join SB.
(v) With centre Q and D draw two arcs intersecting each other at T.
(vi) Join $B T$ and produce it to $A$.
Then $\angle A B C=75^{\circ}$.
(i) Draw a line segment BC.
(ii) With centre $B$ and a suitable radius draw an arc and cut off $P Q$, then $Q R$ of the same radius.
(iii) With centre Q and R, draw two arcs intersecting each other at S.
(iv) Join SB.
(v) With centre Q and D draw two arcs intersecting each other at T.
(vi) Join $B T$ and produce it to $A$.
Then $\angle A B C=75^{\circ}$.
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(a) 0.79 km (b) 3.38 km (c) 3.73 km (d) 6.32 km
Q.2. How many rounds of the track make a distance of 4.44 km?
(a) 9 (b) 10 (c) 11 (d) 12
Q.3. On a particular day, she began jogging from her home and completed 10 rounds of the track. How much did she jog on that day?
(a) 3.28 km (b) 4.12 km (c) 4.57 km (d) 7.9 km
Q.4. One day her friend could not come. So, she had to jog back home after completing 8 rounds of the track. How much did she jog on that day?
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