The Total solution for NCERT class 6-12
In the given figure, if AB|| DE, ∠BAC = 35ºand ∠CDE =53º, find ∠DCE.
AB || DE and AE is atransversal.
∠BAC = ∠CED (Alternate interior angles)
∴ ∠CED = 35º
In ΔCDE,
∠CDE + ∠CED + ∠DCE =180º (Angle sum property of a triangle)
53º + 35º+ ∠DCE =180º
∠DCE = 180º − 88º