Question

If one of the angles formed by diagonal and adjacent side of a rhombus is 20 degree. Find all four angles of the rhombus

Answer 1

Answer:

Step-by-step explanation:

since we know that diagonal of a rhombus cut at right angle

so here  <DOA = 90°

and < ADO = 20° = < OBC ( alternate angle )

so from angel sum property

< ADO +  <DOA + < OAD = 180

20+90+ <OAD = 180

<OAD = 70 so <OCB = 70

since AB = BC so < BAO = ,OCB = 70 so

<DAB= 70+70 = 140

so DC = CB so <ODC = 20

hence <A= 140 <B= 40 <C = 140 and <D= 40

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