Answer:
x = 9°
Step-by-step explanation:
The full arc of the angles equals 360°. So, we can subtract all of the measures of angles we are given from the total 360 to find the value of x.
We can add the given angles together and subtract the sum from 360 as well.
73 + 63 + 89 = 225
This means the measure outside 15x is a combines 225°.
Now, subtract the known measures from our total, 360.
360 - 225 = 135
The unknown, or 15x, is equal to 135°.
15x = 135
Solve this like a normal equation. Divide both sides by 15 to isolate x and solve for the variable.
[tex]\frac{15x}{15}[/tex] = [tex]\frac{135}{15}[/tex]
x = 9
x is equal to 9°.
We can check by adding all our values together again to see if they amount to 360°.
73 + 63 + 89 + 15(9) = 360
360 = 360
The equation is correct, so we can be sure that we are right.
The answer is x = 9°.
Good luck ^^
