One of the corners of the triangle is 30 ° larger and 30 ° smaller than the third corner. Find all the corners of this triangle.

Let the degree measure of the first (smaller angle) triangle is x degrees, then the second angle is x + 30 degrees and the third angle is x + 60 degrees. We know that the sum of the degree measures of the angles of a triangle is 180 degrees. Let’s make an equation. x + x + 30 + x + 60 = 180; x + x + x = 180 – 30 – 60; x * (1 + 1 + 1) = 90; x * 3 = 90 (to find an unknown factor, you need to divide the product by a known factor) x = 90: 3; x = 30 degrees is the first angle. Then 30 + 30 = 60 second angle and 30 + 60 = 90 degrees third angle.
Answer: 30, 60 and 90 degrees.