Question

Градусна міра центрального кута 36 градусів.яка ти величина вписаного кута у це коло, який спирається на ту ж дугу, що і центральний кут

Answer 1

Градусна міра, кута вписаного в коло, у 2 рази меньша від  відповіднього йому центрального кута.
Тобто 158 / 2 = 79 градусів.

Answer 2

The Measure of an Inscribed Angle in a Circle

The measure of an inscribed angle in a circle is half the measure of its intercepted arc. In other words, if a central angle and an inscribed angle in a circle both intercept the same arc, the measure of the inscribed angle will be half the measure of the central angle.

In this case, the central angle measures 36 degrees. Therefore, the measure of the inscribed angle that intercepts the same arc as the central angle will be half of 36 degrees, which is 18 degrees.

This relationship between the central angle and the inscribed angle can be proven using the properties of circles and angles. If you would like a more detailed explanation or have any further questions, please let me know!