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In a quadrilateral ABCD, AO and BO are.the.bisectors ofZA andh4B respectivels Prove that,1a |
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Answer» 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 |
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