ABCD is a square, AC and BD intersect at O. Find the measure of angle DOC.
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Answer:
ABCD is a square. AC and BD intersect at O. State the measure of ∠AOB
A
∠ AOB = 90
o
B
∠ AOB = 60
o
C
∠ AOB = 120
o
D
∠ AOB = 30
o
EASY
ANSWER
In □ ABCD,
The diagonal AC bisect the ∠ACB and ∠BAD.
Also, the diagonal BD bisects ∠ADC and ∠ABC.
∴ m(∠OAB)=
2
90
=45
o
and m(∠OBA)=
2
90
=45
o
In △AOB,
m(∠AOB)+m(∠OAB)+m(∠OBA)=180
o
⟹m(∠AOB)+45
o
+45
o
=180
o
∴m(∠AOB)=90
o
Hence, option A is correct.
Answered By
toppr
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