The correct value of z in this figure is 190⁰
The image given in this question is of a circle. To solve it, let's calculate it as an equation of the first degree.
– First, let's: add the data that are on the circle and equate the equality as 360⁰, which is the value of the degree of a circle.
145 + 24 + z = 360⁰
– Now, let's: add the natural terms to each other. And finally, we'll isolate z and subtract 360⁰ by the number that's left.
145 + 24 + z = 360⁰
170 + z = 360⁰
z = 360⁰ - 170
z = 190⁰
So, the value of z, will be 190⁰