One acute corner of a right-angled triangle is 16 degrees larger than the other. Find a larger sharp corner.

From the condition, we know that one acute angle of a right-angled triangle is 16 ° larger than the other.

In order to find the larger acute angle of a triangle, let’s recall the theorem on the sum of the angles of a triangle.

The angles of a triangle add up to 180 °.

In a right-angled triangle, one angle is 90 °, the second angle is denoted by the variable x, and the third is written as (x + 16).

Let’s compose and solve the equation:

x + x + 16 + 90 = 180;

2x = 180 – 90 – 16;

2x = 74;

x = 74: 2;

x = 37 °;

One of the acute angles is 37 °; and the second 37 ° + 16 ° = 53 °