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EXAMPLE 6 Ina A ABC, if 22A = 3 ZB = 6 2C, determine ZA, ZB and ZC. |
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Answer» we knowA+B+C= 180 In a triangle, Sum of all three angles is equal to 180°.Therefore A + B + C = 180° ------------------(1)and given that, 2A = 3B = 6C ⇒ A = 3C, B = 2CFrom eqn (1), A + B +C= 180° ⇒3C + 2C +C= 180° ⇒ 6C = 180° ⇒ C = 180/6 = 30°ThereforeA= 3C = 3×30 = 90° and B = 2C = 2×30 = 60° answer are 30 60 and 90 please thank A + B + C = 180; GIVEN 2A=3B=6C = A=3C, B=2C; A + B + C = 180; 3C + 2C + C = 180; 6C=100; C=100/6=30; A=3C= 3X30=90; B=2C=2×30=60 |
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