Question

ABCD is rhombus and DCFE is a square

Answer 1

All sides of square ABCD is equal to all sides of DCFE. (observe carefully).

so,

AB = BC = CD = AD = DC = CF = FE = DE.

|_ABC = |_ADC = 56°

( opposite angels in rhombus are equal)

|_EDC = 90°

(As all angels in square are 90°)

In ∆ADE,

|_ADE = |_ABC + |_EDC

= 146°

Also,. AD = DR

So,. |_DAE = |_DEA

(angels opposite to equal sides

|_ADE + |_DAE + |_DEA = 180°

146° + 2|_DAE = 180°

2|_DAE = 180° - 146°

|_DAE = 34°/2

|_DAE = 17°

hope you understand the answer.

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