Answer: To find the degree measure of angle ZSAP in the given figure, we can set up an equation based on the information provided:
Let's denote:
- The measure of angle ZSAP as x
- The measure of angle ZSOP as y
According to the problem:
- The measure of angle ZSAP (x) is 174° less than 4 times the measure of angle ZSOP (y).
This can be written as: x = 4y - 174
We also know that the sum of the angles around a point is 360°:
x + y = 360
Now, we can substitute the value of x from the first equation into the second equation:
(4y - 174) + y = 360
5y - 174 = 360
5y = 534
y = 106.8
Substitute the value of y back into x = 4y - 174:
x = 4(106.8) - 174
x = 427.2 - 174
x = 253.2
Therefore, the degree measure of angle ZSAP (x) is 253.2°
Step-by-step explanation:
