Question

Abcd is a quadrilateral. AO and BO are the angle bisectors of angle A and B which meet at O. If C= 70° D = 50°, find AOB.

Answer 1

We know angle A+angle B +angle C+ angle D=360 (1)
In triangle ABO angle AOB+ 1/2(angle A+angle B)=180
2(AOB+ 1/2(angle A+angle B)=360 (2)
We have angle 2 AOB + angle A+ angle B = angle A + angle B +angle C+ angle D
This gives angle AOB= (angle C + angle D)/2

Answer 2

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