Question

ABCD is a rhombus in which angle ABC=58° find the measure of angle ACD

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Answer 1

Here is your solution

We know that :-

Consecutive angles of a rhombus are supplementary. 

∠BCD = 180° - ∠ABC 

∠BCD= 180° - 58° 

∠BCD= 122° 

Diagonals of a rhombus bisect the interior angles. (properties of rhombus )

∠ACD = ∠BCD/2 

∠ACD= 122°/2 

∠ACD= 61°

hope it helps you

Answer 2

Consecutive angles of a rhombus are supplementary. 

∠BCD 
= 180° - ∠ABC 
= 180° - 58° 
= 122° 

Diagonals of a rhombus bisect the interior angles. 

∠ACD 
= ∠BCD/2 
= 122°/2 
= 61°