ABCD is a rhombus shown below, find the value of x

1.	ABCD is a rhombus shown below, find the value of x
Answer» KNOW that all the sides are equal in a rhombus Consider △ ABC We know that AB = BC It can be written as ∠ CAB = ∠ ACB = xo By SUM PROPERTY of a triangle We get ∠ CAB + ∠ ABC + ∠ ACB = 180o By substituting the values in above equation x + 110O + x = 180o By addition we get 2x + 110o = 180o On further calculation 2x = 180o – 110o By subtraction 2x = 70o By division x = 35o Therefore, x = 35o helpful to you

Answer» KNOW that all the sides are equal in a

rhombus Consider △ ABC We know that AB =

BC It can be written as ∠ CAB = ∠ ACB = xo By

SUM PROPERTY of a triangle We get ∠ CAB + ∠

ABC + ∠ ACB = 180o By substituting the values

in above equation x + 110O + x = 180o By

addition we get 2x + 110o = 180o On further

calculation 2x = 180o – 110o By subtraction 2x =

70o By division x = 35o Therefore, x = 35o

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