A triangle has one of the inner angles of 30 degrees, and one of the outer angles

| May 24, 2021 | education

A triangle has one of the inner angles of 30 degrees, and one of the outer angles of 40 degrees. Find the remaining interior corners of the triangle.

It is known from the condition that in a triangle one of the inner angles is 30 °, and one of the outer angles is 40 °. In order to find the remaining interior angles of a triangle, recall what is the sum of adjacent angles and the theorem on the sum of the angles of a triangle.

So, the sum of adjacent angles is 180 °. Based on this, we can find the angle of the triangle adjacent to the inner one at 40 °.

180 ° – 40 ° = 140 ° angle of a triangle adjacent to an angle of 40 °.

We know the two corners of the triangle.

From the theorem on the sum of the angles of a triangle, we know that the sum of the angles of a triangle is 180 °.

Looking for the third corner:

180 ° – (30 ° + 140 °) = 180 ° – 170 ° = 10 °.



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