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# How many right angles do you make if you start facing

**(a)** south and turn clockwise to west?

**(b)** north and turn antiâ€“clockwise to east?

**(c)** west and turn to west?

**(d)** south and turn to north?

To do :

We have to find the number of right angles we make in each case.

Solution :

We know that,

1 revolution $= 360^o$

Therefore,

(a) If we start facing south and turn clockwise to west, we will turn $90^o$ from the starting point.

This implies,

Number of right angles $=\frac{90^o}{90^o}$

$=1$â€Š

(b) If we start facing north and turn anti-clockwise to east, we will turn $270^o$ from the starting point.

This implies,

Number of right angles $=\frac{270^o}{90^o}$

$=3$â€Š

(c) If we start facing west and turn to west, we will turn $360^o$ from the starting point.

This implies,

Number of right angles $=\frac{360^o}{90^o}$

$=4$â€Š

(d) If we start facing south and turn to north, we will turn $180^o$ from the starting point.

This implies,

Number of right angles $=\frac{180^o}{90^o}$

$=2$â€Š