pls solve this maths qestion friend s class 9
Answers
Step-by-step explanation:
It's your answer .....................
∠A : ∠B = 1 : 3
Step-by-step explanation:
∠EDC = ∠AED + ∠EAD ( Exterio angle of Traingle AED = Sum of opposite interior angle)
∠AED = ∠EAD (DE = AD)
=> ∠EDC = 2∠EAD
∠EDC = ∠ECD (ED = EC)
=> ∠EDC = ∠ECD = 2∠EAD
in Δ EDC
∠EDC + ∠ECD + ∠CED = 180°
=> 2∠EAD + 2∠EAD + ∠CED = 180°
=> ∠CED = 180° - 4∠EAD
∠BEC + ∠CED + ∠AED = 180° ( Straight line)
∠BEC = ∠CBE ( BC = CE)
=> ∠CBE + 180° - 4∠EAD + ∠EAD = 180°
=> ∠CBE = 3∠EAD
∠CBE = ∠CBA = ∠B
∠EAD = ∠BAC = ∠A
=> ∠B = 3∠A
=> ∠A/∠B = 1/3
=> ∠A : ∠B = 1 : 3
QED
Proved
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