Answer:
To find the values of the other three angles in a pentagon given that the sum of all angles is 450 degrees and one angle is 150 degrees, we can use the fact that the sum of the angles in any polygon with n sides is (n-2) * 180 degrees.
Let's denote the other three angles as A, B, and C.
The sum of the angles in a pentagon is given as 450 degrees, so we have:
150 + A + B + C = 450
We know that the sum of the angles in a pentagon is (5-2) * 180 = 540 degrees, so we have another equation:
A + B + C = 540
Now we have a system of two equations with two variables. We can solve this system to find the values of A, B, and C.
The correct subtraction should be:
(150 + A + B + C) - (A + B + C) = 540 - 450
Simplifying the equation, we have:
150 = 90
This equation is not valid, which means that the values given for the sum of angles and one angle are inconsistent with a pentagon. The sum of the angles in a pentagon should be 540 degrees. Please ensure the accuracy of the provided values.