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Find $\angle$ABC, $\angle$BAC and $\angle$CAF"


To do: Find $\angle$ABC, $\angle$BAC and $\angle$CAF


Solution:

EF || GH the two lines are parallel

So $\angle$ ABC =  65* [Alternate angles]

angle CAE = $\angle$ACH=100* (Alternate angles)

angle BAC $+$ 65 =$\angle$CAE = $\angle$ACH = 100

So $\angle$BAC = 100 $-$ 65 = 35*

$\angle$ CAF = 180 $-$ 100 = 80* [interior angles on same side of transversal]

$\angle$ ABC = 65*

$\angle$BAC = 35*

$\angle$CAF = 80* 

Updated on: 10-Oct-2022

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