Question

262
In the figure (not drawn to scale), ADF and BEF are triangles
and EC = ED, find y.
(A) 90°
(B) 91°
(C) 92°
(D) 93°

Answer 1

Answer:

(A)90°

Step-by-step explanation:

In ∆ CED, EC =ED (Given)

Therefore angle CED= angle CDE =28°

In ∆ABC Angle BCA = Angle DCE = 28°

(Vertically opposite angles are equal)

In ∆ABC,

Angle BAC+Angle ABC+Angle BCA=180°

(Angle sum property)

Therefore Angle BAC=180°-28°-62° = 90°

Also, Angle FAC + Angle BAC = 180°

(Linear pair)

Thrfre Angle FAC=Angle y=180°-90°=90°

Hence the answer is option (A)