Question

Вписанный угол опирается на дугу, которая составляет 5/6 ​  окружности. Определи градусную меру этого вписанного угла. Запиши ответ числом.

Answer 1

Градусная мера окружности 360°

Дуга = 5/6 · 360° = 300°

Вписанный в окружность угол равен половине градусной меры дуги, на которую он опирается

=>  угол = 300°/2 = 150°

Ответ: 150

Answer 2

Finding the Degree Measure of an Inscribed Angle

To find the degree measure of an inscribed angle, we need to use the relationship between the angle and the intercepted arc. In this case, the intercepted arc is 5/6 of the entire circle.

The degree measure of an inscribed angle is equal to half the degree measure of its intercepted arc. Therefore, we can calculate the degree measure of the inscribed angle by multiplying the degree measure of the intercepted arc by 1/2.

Let's calculate the degree measure of the inscribed angle:

Degree measure of the inscribed angle = (Degree measure of the intercepted arc) * (1/2)

Degree measure of the intercepted arc = 360 degrees (since a full circle measures 360 degrees)

Degree measure of the inscribed angle = (360 degrees) * (5/6) * (1/2)

Degree measure of the inscribed angle = 150 degrees

Therefore, the degree measure of the inscribed angle is 150.