in the given figure, AC parallel CE and angle A: angle B:angleC=3:2:1. find the value of angleECD
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Answer:
In the given triangle, the angles are in the ratio 3: 2: 1.
Let the angles of the triangle be 3x, 2x and x.
We know that sum of angles in a triangle is 180°
3x + 2x + x = 180°
6x = 180°
x = 30°
Also, ∠ACB + ∠ACE + ∠ECD = 180° x + 90° + ∠ECD = 180°
(∠ACE = 90°) We know that x = 30° Therefore ∠ECD = 60°
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