Question

calculate the angle between the bisector of angle BOC and the bisector of angle AOD​

Answer 1

Answer:

156°

bisector of angle BOC= 60°/2= 30°

bisector of angle AOD= 72°/2=36°

Angle between bisector of angle BOC and bisector of angle AOD= 90°+36°+30°=156°

Answer 2

The angle between the bisector of angle BOC and the bisector of angle AOD​ is 156°.

Step-by-step explanation:

We need to find the angle between the bisector of angle BOC and the bisector of angle AOD​.

Angle bisector of an angle divide the angle in two equal parts.

Draw angle bisectors of ∠BOC and angle ∠AOD.

Let OP be the angle bisectors of ∠BOC and OQ be the angle bisectors of ∠AOD.

$\angle POB=\dfrac{\angle COB}{2}=\dfrac{60}{2}=30^{\circ}$

$\angle QOA=\dfrac{\angle AOD}{2}=\dfrac{72}{2}=36^{\circ}$

We need to find the measure of ∠POQ.

$\angle POQ=\angle POB+\angle BOA+\angle AOQ$

$\angle POQ=30+90+36$

$\angle POQ=156$

Therefore, the angle between the bisector of angle BOC and the bisector of angle AOD​ is 156°.

#Learn more

1. In the figure, the bisector of angle B and angle C meet at O. find angle BOC.

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2. ABCD is a parallelogram the angle bisector of angle A and angle D intersect at O find the measure of a angle aod

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