To find the value of angle C minus angle B, we need to first determine the values of angles A, B, and C.
We are given that angle A is complementary to angle B, which means the sum of angles A and B is 90 degrees (because complementary angles add up to 90 degrees).
We are also given that angle A is supplementary to angle C, which means the sum of angles A and C is 180 degrees (because supplementary angles add up to 180 degrees).
Since we know the sum of angles A and B is 90 degrees, we can say that angle A = 90 - angle B.
Similarly, since we know the sum of angles A and C is 180 degrees, we can say that angle A = 180 - angle C.
Now we can equate these two expressions for angle A:
90 - angle B = 180 - angle C
To find angle C minus angle B, we need to subtract angle B from both sides of the equation:
90 - angle B - angle B = 180 - angle C - angle B
Simplifying this equation gives us:
90 - 2 * angle B = 180 - angle C
Now we can solve for angle C minus angle B by subtracting angle C from both sides of the equation:
90 - 2 * angle B - angle C = 180 - angle C - angle C
Simplifying further:
90 - 2 * angle B - angle C = 180 - 2 * angle C
Finally, subtracting angle C from both sides of the equation gives us:
90 - 2 * angle B - angle C - angle C = 180 - 2 * angle C - angle C
Simplifying:
90 - 2 * angle B - 2 * angle C = 180 - 3 * angle C
Therefore, angle C minus angle B is:
180 - 3 * angle C - (90 - 2 * angle B)
Keep in mind that we cannot determine the specific values of angle C or angle B without additional information.