Question
How many angles are formed in the figures $(i), (ii)$ and $(iii)?$ Name them.
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Answer
$i.\ $Three angles are formed, namely $\angle\text{ABC}, \angle\text{BAC}$ and $\angle\text{ACB.}$
$ii.\ $Four angles are formed, namely $\angle\text{ABC}, \angle\text{ADC}, \angle\text{BCD}$ and $\angle\text{BAD.}$
$iii.\ $Eight angles are formed namely $\angle\text{ADC}, \angle\text{ACD}, \angle\text{DAC,} \angle\text{ACB}, \angle\text{ABC}, \angle\text{BAC}, \angle\text{BCD}$ and $\angle\text{BAD.}$
$ii.\ $Four angles are formed, namely $\angle\text{ABC}, \angle\text{ADC}, \angle\text{BCD}$ and $\angle\text{BAD.}$
$iii.\ $Eight angles are formed namely $\angle\text{ADC}, \angle\text{ACD}, \angle\text{DAC,} \angle\text{ACB}, \angle\text{ABC}, \angle\text{BAC}, \angle\text{BCD}$ and $\angle\text{BAD.}$
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