Answer:
<XCL = 228°
Step-by-step explanation:
Since CQ is the angle bisector of <XCL, the adjacent angles within it, <QCX and <LCQ have to be equal to each other. Set their values equal to each other and solve for x.
17x-5 = 13x+23
+5 +5
17x = 13x+28
-13x -13x
4x = 28
/4 /4
x = 7
Plug x into one of the equations, then multiply by 2 because the angles are equivalent to each other because they are the result of an angle bisector.
17(7)-5 = 119-5 = 114
114*2 = 228
<XCL = 228°
