Question

Луч ОС делит развернутый угол АОВ на два смежных угла АОС и ВОС так.что угол АОС в 3 раза больше угла ВОС.Найдите угол АОС и угол ВОС.

Answer 1

45 135 так как делим 180 на 4части

Answer 2

Given Information

The angle AOV is divided into two adjacent angles AOS and VOS, such that the angle AOS is three times larger than the angle VOS.

Calculating the Angles

Let's denote the measure of angle VOS as x. According to the given information, the measure of angle AOS is three times larger than the measure of angle VOS, so it can be represented as 3x.

Since the sum of the measures of angles AOS and VOS is equal to the measure of angle AOV, we can use this information to find the value of x.

From source we know that the sum of the measures of two adjacent angles is 180 degrees.

So, we can set up the equation: x + 3x = 180

Solving for x: 4x = 180 x = 45

Now that we have the value of x, we can find the measures of angles AOS and VOS: - Angle VOS = x = 45 degrees - Angle AOS = 3x = 3 * 45 = 135 degrees

Therefore, the measure of angle AOS is 135 degrees and the measure of angle VOS is 45 degrees.