can anyone solve this ??
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the answer is give above hope it helps and please mark me the brainliest
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Hlo mate, here is your step-by-step answer:
In rectangle ABCD,
In rectangle ABCD, All 4 angles are 90°, thus, ∠ABC = 90°.
Now in ∠CEB:∠ECB = 3:2.
Let, ∠CEB = 3x°, and ∠ECB= 2x°.
Therefore,
=> 90° + 3x + 2x = 180°
=> 5x = 90°
=> x = (90/5)°
=> x = 18°
Thus, ∠CEB = 3x° = (3 * 18)° = 54°.
∠CEA = ∠ECB + ∠CBE {Exterior angle is equal to the sum of two opposite interior angle}
= 2x° + 90° = (2*18 + 90)°
= 126°
Now, opposite sides of a rectangle are parallel to each other.
Therefore, AB || CD.
EF is the transversal.
∠DCF = ∠CEA = 126° {Corresponding angles}
Hope it helps.. please mark my answer as the brainliest :)
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