The value of x for the missing angle in the diagram is: x = 17
How to find the missing angles?
Supplementary angles are two angles that add up to 180 degrees. When two angles are supplementary, they form a straight angle. They don't have to be adjacent to each other, but when they are put together, they form a straight line
These two angles in the diagram are supplementary angles and as such:
5x - 23 + 7x - 1 = 180
12x - 24 = 180
12x = 180 + 24
12x = 204
x = 17