Question

Луч ОС делит прямой угол АОВ на два угла так что угол АОС в 4раза меньше угла ВОС . НАЙДИТЕ градусные меры углов АОС и ВОС

Answer 1

АОС=х
ВОС=4х
х+4х=90
5х=90
х=18 град угол АОС
4*18=72 град угол ВОС

Answer 2

Problem Analysis

We are given that the angle AOS is 4 times smaller than the angle VOS. We need to find the degree measures of angles AOS and VOS.

Solution

Let's assume the degree measure of angle VOS is x. According to the given information, the degree measure of angle AOS is 4 times smaller than angle VOS. Therefore, the degree measure of angle AOS is x/4.

So, the degree measures of angles AOS and VOS are x/4 and x, respectively.

Answer

The degree measure of angle AOS is x/4 and the degree measure of angle VOS is x.