Question

in a figure , ABCD is a rhombus and angle ACB = 45° .
find angle ADC .
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Answer 1

Consecutive angles of a rhombus are supplementary.

Consecutive angles of a rhombus are supplementary.∠BCD=180o−∠ABC

Consecutive angles of a rhombus are supplementary.∠BCD=180o−∠ABC=180o−56o

Consecutive angles of a rhombus are supplementary.∠BCD=180o−∠ABC=180o−56o=124o

Consecutive angles of a rhombus are supplementary.∠BCD=180o−∠ABC=180o−56o=124o∴∠BCD=124o

Consecutive angles of a rhombus are supplementary.∠BCD=180o−∠ABC=180o−56o=124o∴∠BCD=124oDiagonals of a rhombus bisect the interior angles

Consecutive angles of a rhombus are supplementary.∠BCD=180o−∠ABC=180o−56o=124o∴∠BCD=124oDiagonals of a rhombus bisect the interior angles∠ACD=∠BCD/2

Consecutive angles of a rhombus are supplementary.∠BCD=180o−∠ABC=180o−56o=124o∴∠BCD=124oDiagonals of a rhombus bisect the interior angles∠ACD=∠BCD/2=124o/2

Consecutive angles of a rhombus are supplementary.∠BCD=180o−∠ABC=180o−56o=124o∴∠BCD=124oDiagonals of a rhombus bisect the interior angles∠ACD=∠BCD/2=124o/2=62o

Consecutive angles of a rhombus are supplementary.∠BCD=180o−∠ABC=180o−56o=124o∴∠BCD=124oDiagonals of a rhombus bisect the interior angles∠ACD=∠BCD/2=124o/2=62o∴∠ACD=62o.

Answer 2

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angle ADC = 90°