If ABCD is a quadrilateral and BO and CO are the angles bisectors of angle B And angle C respectively ,then find the measure of angle BOC and angle BCD if angle angle DAB = angle ABC = 60 degree and angle ADC = 100 degree
Answers
Answered by
2
Answer:
ABCD is a quadrilateral
To prove : ∠AOB=
2
1
(∠C+∠D)
AO and BO is bisector of A and B
∠1=∠2∠3=∠4...(1)
∠A+∠B+∠C+∠D=360
(Angle sum property)
2
1
(∠A+∠B+∠C+∠D)=180...(2)
In △AOB
∠1+∠3+∠5=
2
1
(∠A+∠B+∠C+∠D)
∠1+∠3+∠5=∠1+∠3+
2
1
(∠C+∠D)
∠AOB=
2
1
(∠C+∠D)
- Hence,Proved.............
Attachments:
![](https://hi-static.z-dn.net/files/dfd/2b6f38c93f4e9dcd9edb5907fcc2c1f3.jpg)
Similar questions