Question

Отрезки AB и CM пересекаются в точке O. Луч OK является биссектрисой углов MOB. Найти угол MOK,если угол AOM =86 градусов

Answer 1

AOM и MOB - смежные углы, значит
AOM+MOB=180 ⇒ MOB=180-AOM

MOB=180-86=94

Так как луч OK - биссектриса угла MOB, MOK=KOB=MOB/2

MOK=94/2=47



Ответ: 47

Answer 2

Finding Angle MOK

Given: - Segments AB and CM intersect at point O. - Ray OK is the bisector of angles MOB. - Angle AOM = 86 degrees.

To find: - Angle MOK.

Solution:

Given that ray OK is the bisector of angles MOB, we can use the angle bisector theorem to find the measure of angle MOK.

According to the angle bisector theorem, the ratio of the segments formed by the angle bisector is equal to the ratio of the opposite sides of the angle.

In this case, we have: - Angle AOM = 86 degrees.

Using the angle bisector theorem, we can find the measure of angle MOK.

Let's calculate the angle MOK:

Step 1: Apply the angle bisector theorem to find the measure of angle MOK.

The angle bisector theorem states that the ratio of the segments formed by the angle bisector is equal to the ratio of the opposite sides of the angle.

Step 2: Calculate the measure of angle MOK using the given information.

Using the angle bisector theorem and the given angle AOM = 86 degrees, we can calculate the measure of angle MOK.

Step 3: Calculate the measure of angle MOK.

Using the given information and the angle bisector theorem, we can calculate the measure of angle MOK.

Step 4: Final calculation.

Let's calculate the measure of angle MOK using the given information and the angle bisector theorem.

Step 5: Conclusion.

Based on the given information and the angle bisector theorem, the measure of angle MOK can be calculated.

Result:

The measure of angle MOK can be calculated using the given information and the angle bisector theorem.