Question

In the given figure,
figure, the bisectors of angleA and angleB of parallelogram-
o meet at O. Find the measure of angleAOR
​

Answer 1

Answer:

90°

Step-by-step explanation:

I hope that you are asking angle AOB as no figure is provided and point R is not given in question.

angle A + angle B=180° {adjacent angles of parallelogram}

angle AOB + angle OAB + angle OBA = 180° {angle sum property of triangle}

=>angle AOB + 1/2 angleA + 1/2 angleB = 180°

=> angle AOB + 1/2(angle A+ angle B) = 180°

=> angle AOB +( 1/2 * 180°) = 180° {angle A+angle B =180°}

=> angle AOB + 90° =180°

=> angle AOB =90°

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