the diagnols of a rectangle ABCD intersect at O. if angleBOC =70° . find angleODA
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Answered by
2
Answer:
Since in a rec diagonal are equal and bisect each other
∴OD=OA
and ∠S opp to equal sides are equal
∴∠1=x
Now, In ΔODA
∠DOA=70
0
(vertically opp. ∠S)
x+∠1+70=180
0
(∠ sum prop)
and ∠1=x
∴x+x+70=180
2x=110
x=
2
110
x=55
0
⇒
∠ODA=55
0
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