1. If A DOR - ABCA contle the parts of ABCA
that corresponding to
i alpha E
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Answer:
In square ABCD, DO(diagonal DB) bisects ∠D
⇒ ∠ODC=45
o
DO=DX ⇒ ∠DXO=∠DOX (angles opp.equal sides are equal)
∴ In △DOX, ∠DXO=∠DOX=
2
1
(180
o
−45
o
)=
2
1
×135
o
=67.5
o
Since the diagonals of a square bisect each other at rightangles,
∠DOC=90
o
∴ ∠XOC=∠DOC−∠DOX=90
o
−67.5
o
=22.5
o
∴ Required ratio=
∠XOC
∠DOX
=
22.5
o
67.5
o
=
1
3
=3:1
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