In the figure, if ab || cd, then angle efd is equal to:
(a) 50
(d) 40
(c) 20
(d) 30

d. 40°

Step-by-step explanation:

70-30=40°

d) 40

Step-by-step explanation:

AB || CD,  so ∠DCB + ∠ABC = 180    { co interior angles }

                        ∠DCB + 70 = 180

                                    ∠DCB = 180 -70 = 110

∠FCE = ∠DCB   { Vertically opposite angles }

∠FCE = 110

In triangle CFE

∠EFD + ∠CEF + ∠FCE = 180    ( sum of angles of triangle)

∠EFD + 30 + 110 = 180

∠EFD + 140 = 180

∠EFD = 180 -140

∠EFD = 40

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

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step-by-step explanation: