Question

Найдите внешние углы треугольника, если известны два его внутренних угла 37° и 64°

Answer 1

1)180+(180-37)=323 2)180+(180-64)=296 вроде так)ну не знаю..

Answer 2

Finding the External Angles of a Triangle

To find the external angles of a triangle when two of its internal angles are known (37° and 64°), we can use the fact that the sum of the measures of the exterior angles of any polygon is 360°.

Given that the sum of the measures of the exterior angles of any polygon is 360°, we can find the measure of each exterior angle by subtracting the measure of the corresponding interior angle from 180°.

Let's calculate the measures of the external angles:

1. The exterior angle corresponding to the 37° interior angle: - Measure of the exterior angle = 180° - 37° = 143° 2. The exterior angle corresponding to the 64° interior angle: - Measure of the exterior angle = 180° - 64° = 116°

Therefore, the measures of the external angles of the triangle are 143° and 116°.

This calculation is based on the fact that the sum of the measures of the exterior angles of any polygon is 360°, and the method of finding the measure of each exterior angle by subtracting the measure of the corresponding interior angle from 180°.

I hope this helps! If you have any further questions, feel free to ask.