Question

Зовнішні кути при двох вершинах трикутника дорівнюють 70 і 150 градусів. Знайти внутрішній кут при третій вешині.

Answer 1

Finding the Internal Angle of a Triangle

To find the internal angle at the third vertex of a triangle, we can use the fact that the sum of the internal angles of a triangle is always 180 degrees.

Given that the external angles at two vertices of the triangle are 70 and 150 degrees, we can find the internal angle at the third vertex as follows:

1. Calculate the sum of the external angles at the two given vertices: - External angle at the first vertex = 70 degrees - External angle at the second vertex = 150 degrees - Sum of the external angles = 70 + 150 = 220 degrees

2. Subtract the sum of the external angles from 360 degrees to find the internal angle at the third vertex: - Internal angle at the third vertex = 360 - 220 = 140 degrees

Therefore, the internal angle at the third vertex of the triangle is 140 degrees.

Please let me know if there's anything else I can help you with!