Question

$\text{In the given figure ,}AB||CD,\angle BAE={65}^{\circ }and\angle OEC={20}^{\circ }.Find\angle ECO.$

Answer 1

ANSWER:
In the given figure, AB || CD and AE is the transversal.
∴ ∠DOE = ∠BAE
(Pair of corresponding angles)
⇒ ∠DOE = 65°
In ∆COE,
∠DOE = ∠OEC + ∠ECO
(Exterior angle of a triangle is equal to the sum of two opposite interior angles)
⇒ 65° = 20° + ∠ECO
⇒ ∠ECO = 65° − 20° = 45°
Thus, the measure of ∠ECO is 45°.