given ΔABC~ΔDEF,if angle A is 45 degree and angle E is 35 degree than angle B=?
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Answer:
∠B 35° and ∠C = 100°
Step-by-step explanation:
As ΔABC ≅ ΔDEF,
∠A = ∠D
∠C = ∠F
And ∠B = ∠E
So as ∠B = ∠E and ∠E = 35°
∴ ∠B = 35°
Now i think you miswrote the question and have asked for C°, here's the answer -
We know that the sum of all interior angles of a triangle = 180°
So ∴ we know from the above explanation that -
∠A = 45° [given in question]
∠B = 35° [as explained above]
So ∴ ∠C = 180 - ∠A + ∠B
= 180 - 45 + 35
= 180 - 80
= 100°
Therefore ∠C = 100°
And As ∠C = 100°, ∠F = 100°
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