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Draw ∆ABC and form an exterior ∠ACD. Now take a protractor and measure ∠ACD, ∠A and ∠B. Find the sum ∠A + ∠B and compare

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Draw ∆ABC and form an exterior ∠ACD. Now take a protractor and measure ∠ACD, ∠A and ∠B. Find the sum ∠A + ∠B and compare it with the measure ∠ACD. Do you observe that ZACD is equal (or nearly equal) to ∠A + ∠B ?

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For instance in the adjacent figure 

∠A = 68° ; ∠B = 57° 

∠A + ∠B = 68° + 57° = 125 ∠ACD = 125° 

∴ ∠ACD = ∠A + ∠B

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