Question

От стороны развернутого угла AOB в одну полуплоскость отложены угол AOC равный 20 градусов и угол AOK равный 80 градусов. Найдите угол между биссектриссами углов COK KOB

Answer 1

<AOB=180° - развернутый
<AOC=20°
<AOK=80°
<AOK=<AOC+<COK, 
80°=20°+<COK
<COK=60°
OM - биссектриса <COK.
<MOK=30°

<AOB=<AOK+<KOB
180°=80°+<KOB
<KOB=100°
ON - биссектриса <KOB
<NOK=50°
<MOK+<NOK=30°+50°
<MON=80°
ответ: угол между биссектрисами 80°

Answer 2

Problem Analysis

We are given a triangle ABC with a point O inside the triangle. The angle AOB is a reflex angle, and we need to find the angle between the bisectors of angles COK and KOB.

Solution

To find the angle between the bisectors of angles COK and KOB, we need to find the measures of angles COK and KOB first.

From the given information, we know that angle AOC is 20 degrees and angle AOK is 80 degrees. We can use this information to find the measure of angle AOB.

According to the search result snippet from Source we have the equation AOB = AOC + COB. Since angle AOC is 20 degrees, we can substitute this value into the equation to find the measure of angle COB.

AOB = AOC + COB AOB = 20 + COB

Now, let's find the measure of angle COB. According to the search result snippet from Source we have the equation AOB = AOC + COB. Rearranging the equation, we get COB = AOB - AOC.

COB = AOB - AOC COB = 20 + COB - 20 COB = COB

From this equation, we can see that the measure of angle COB is not determined by the given information. Therefore, we cannot determine the measure of angle COB.

Since we cannot determine the measure of angle COB, we cannot find the measure of angle COK or KOB. Therefore, we cannot find the angle between the bisectors of angles COK and KOB.

In conclusion, based on the given information, we cannot determine the angle between the bisectors of angles COK and KOB.

Please let me know if there is anything else I can help you with.