The outer angles at the 2 vertices of the triangle are 110 and 160 degrees. Find each corner of the triangle.

From the condition, we know that the two outer angles of the triangle are 110 ° and 160 °.

In order to find the interior angles of a triangle, we will use the adjacent angles property.

It says that the sum of adjacent angles is 180 °.

Let’s find the two interior corners of the triangle:

1) 180 ° – 110 ° = 70 °;

2) 180 ° – 160 ° = 20 °.

Now let us recall the theorem on the sum of the angles of a triangle. It says that the sum of the angles of the triangle is 180 °.

Find the third corner of the triangle.

180 ° – (70 ° + 20 °) = 180 ° – 90 ° = 90 °.