Answer:
Option C. 28
Step-by-step explanation:
From the question given,
m<HKM = 155°
m<JKL = (5x + 15)°
From the diagram,
m<HKM = m<JKL (since they are directly opposite)
Inputting the value of m<HKM and m<JKL into the above expression, we have:
m<HKM = m<JKL
m<HKM = 155°
m<JKL = (5x + 15)°
155 = 5x + 15
Collect like terms
155 – 15 = 5x
140 = 5x
Divide both side by 5
x = 140/5
x = 28
Therefore, the value of x is 28.
