How many angles are formed in the figures 11.15 (i), (ii) and (iii)? Name them.

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Solution

(i) Three angles are formed, namely ∠ABC, ∠BAC and ∠ACB.
(ii) Four angles are formed, namely ∠ABC, ∠ADC, ∠BCD and ∠BAD.
(iii) Eight angles are formed namely, ∠ADC, ∠ACD, ∠DAC, ∠ACB, ∠ABC, ∠BAC, ∠BCD and ∠BAD.

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How many angles are formed in the figures 11.15 (i), (ii) and (iii)? Name them.

(i) Three angles are formed, namely ∠ABC, ∠BAC and ∠ACB. (ii) Four angles are formed, namely ∠ABC, ∠ADC, ∠BCD and ∠BAD. (iii) Eight angles are formed namely, ∠ADC, ∠ACD, ∠DAC, ∠ACB, ∠ABC, ∠BAC, ∠BCD and ∠BAD.

(i) Three angles are formed, namely ∠ABC, ∠BAC and ∠ACB.
(ii) Four angles are formed, namely ∠ABC, ∠ADC, ∠BCD and ∠BAD.
(iii) Eight angles are formed namely, ∠ADC, ∠ACD, ∠DAC, ∠ACB, ∠ABC, ∠BAC, ∠BCD and ∠BAD.