Question

Зовнішні кути при двох вершинах трикутника дорівнюють 118° і 153°. Знайдіть градусну міру третього зовнішнього кута. ​

Answer 1

Ответ:
89°.
Объяснение:
Сумма всех внешних углов любого выпуклого многоугольника, взятых по одному при каждой вершине, равна 360°.
Так как два угла данного треугольника 118° и 153°, то величина третьего угла равна 360° - (118° + 153°) = 360° - 271° = 89°.

Answer 2

Finding the measure of the third exterior angle of a triangle

To find the measure of the third exterior angle of a triangle, we can use the fact that the sum of the measures of the exterior angles of any triangle is always 360 degrees.

Given that the measures of two exterior angles of a triangle are 118° and 153°, we can find the measure of the third exterior angle by subtracting the sum of the measures of the two given exterior angles from 360°.

Let's calculate it:

1. Sum of the measures of the two given exterior angles: - 118° + 153° = 271°

2. Measure of the third exterior angle: - 360° - 271° = 89°

Therefore, the measure of the third exterior angle is 89°.