Question

Угол АОВ РАВЕН 48 градусам.Луч ОС -биссектриса угла АОВ,луч ОМ-биссектриса угла АОС .Найдите величину угла АОМ .Нарисуйте схематический ресунок

Answer 1

1) AOB:2 = 48:2 = 24 (градуса) - угол AOC, т.к. OC - биссектриса
2) AOC:2 = 24:2 = 12 (градусов) - угол AOM, т.к. ОМ - биссектриса
Ответ: 12 градусов

Answer 2

Angle AOM Calculation

To find the measure of angle AOM, we need to use the given information that angle AOV is equal to 48 degrees and that ray OS is the angle bisector of angle AOV, while ray OM is the angle bisector of angle AOS.

Let's denote the measure of angle AOM as x.

Since ray OS is the angle bisector of angle AOV, we know that angle AOS is equal to angle VOS. Similarly, since ray OM is the angle bisector of angle AOS, we know that angle AOM is equal to angle SOM.

Therefore, we have the following relationships:

angle AOS = angle VOS angle AOM = angle SOM

Since angle AOV is equal to 48 degrees, we can write the following equation:

angle AOS + angle VOS = 48

Since angle AOS is