Question

CE parallel BA if angle BAC equal to 60 degree and Angle is equal to 65 degree then the measure of angle abc is

Answer 1

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Answer 2

$\: \: \: \: \: \: \: \: \: \: \: \: Your \: \: \: \: \: Answer \\ - - - - - - - - - - - - -$

$CE || BA \: \: \: and \: \: \: AC \: \: \: is \: \: \: a \: \: transversal$

$∠ ACE = \:∠ BAC = 60 ° (alternate \: \: angles)$

$∠ ACD = ∠ ACE\: \: + \: \: \: ∠ ECD \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 60 ° \: \: + 65 ° \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 125 °$

$Now$

$∠ ACB \: \: + < ACD = 180° \: \: (linear \: \: pair)$

$= > \: \: \: ∠ ACB \: \: + 125° \: = 180° \\ \\ = > \: \: \: ∠ACB \: = 180° - 125° \\ \\ = > \: \: \:∠ ACB = 55°$

$Hence, \: \: ∠ ACB = 55 °$