Question

In the image, mZHKM = 155° and mZJKL = (5x + 15)°.

Answer 1

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.