Question

Find the measurement of <A from given figure A =? ,B=65° c, 115°​

Answer 1

Answer:

angle A is 50°

please mark my answer as brainliests answer

Answer 2

$\underline{{ \huge{ \bold{A}}} \sf {nswer \: - }}$

$\underline{ \underline{ \sf {1}^{st} \: method↬}}$

∠ACD = ∠ABC + ∠BAC [exterior angle]

115° = 65° + ∠BAC

∠BAC = 115° - 65°

=> ∠BAC = 50° ...(ans)

$\underline{ \underline{ \sf \: {2}^{nd} \: method↬}}$

∠ACD + ∠ACB = 180° [linear pair]

115° + ∠ACB = 180°

∠ACB = 180° - 115°

=> ∠ACB = 65°

now,

∠ABC + ∠ACB + ∠BAC = 180° [sum of angles of triangle is 180 degree]

=> 65° + 65° + ∠BAC = 180°

=> 130° + ∠BAC = 180°

=> ∠BAC = 180° - 130°

=> ∠BAC = 50° ...(ans)

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@MissSolitary✌️

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