Answer:
ZK = 95 degrees
Step-by-step explanation:
Supplementary angles are when the sum of 2 angles equals 180 degrees. Since ZJ and ZK are supplementary, we can add both of them to equal 180 degrees.
ZJ + ZK = 180
Our first objective: find the value of x
(2x + 5) + (3x - 10) = 180
2x + 5 + 3x - 10 = 180
Combine like terms
5x - 5 = 180
Add 5 to both sides to isolate variable x
5x = 175
Divide both sides by 5 to isolate variable x
x = 35
Plug in x value for ZK expression
3(35) - 10
Use PEMDAS
105 - 10
95
