Question

Can someone please help me I need the answer urgently please​

Answer 1

Explanation:

AB ≅ BC. So, ΔABC is an isosceles triangle

Opposite angles of equal sides are equal.

∠BAC = ∠BCA = x°

In ΔABC,

∠ABC + ∠BAC + ∠BCA = 180 {Angle sum property of triangle}

56 + x + x = 180

56 + 2x = 180

2x = 180 - 56

2x = 124

x = 124/2

x = 62°

∠BAC = ∠BCA = 62°

∠DCF = ∠BCA {Vertically opposite angles}

∠DCF = 62°

CDEF is a parallelogram.

In parallelogram, opposite angles are congruent.

∠DEF = ∠DCF

∠DEF = 62°

In a parallelogram, sum of adjacent angles = 180

∠DEF + ∠CDE = 180

62 + ∠CDE = 180

∠CDE = 180 - 62

∠CDE = 118°

∠CFE = ∠CDE {In parallelogram, opposite angles are congruent}

∠CFE = 118°