In triangle ABC, angle A is 90 °, and angle C is 40 ° greater than angle B. What is the degree measure of angle C?

From the condition, we know that in triangle ABC, angle A is 90 °, and angle C is 40 ° greater than angle B.

In order to find the degree measure of the angle C, we compose and solve a linear equation.

Let us denote by the variable x the degree measure of the angle B, then the degree measure of the angle C is equal to (x + 40).

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 °.

Let’s compose and solve the equation:

90 + x + x + 40 = 180;

2x = 180 – 90 – 40;

2x = 50;

x = 50: 2;

x = 25 ° angle B, then the degree measure of angle C is 25 + 40 = 65 °.