A triangle has one of the inner angles of 30 ° and one of the outer corners of 40 °. find the rest of the interior corners.

From the condition of the problem, it is known that one of the outer corners of the triangle is 40 degrees, that is, the inner corner of the triangle is the adjacent outer corner. The sum of adjacent angles is 180 degrees. The sum of all the angles of the triangle is 180 degrees.

1). Let’s find what the other angle of the triangle is equal to.

180 – 40 = 140 degrees.

2). Let’s calculate what the degree measure of the third angle of the triangle is equal to.

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

Answer: The other inner corner of the triangle is 140 degrees, the third is 10 degrees.