Respuesta :

Answer:

The correct answer option is B. 21.

Step-by-step explanation:

We are given a figure where the line KL is intersecting another line MN such that angle from K to N is equal to the angle opposing it which is the angle measuring [tex](5x)[/tex].

Measure of angle K - N = 90° + 15° = 105°

Since angle K - N = angle M - L, we can write it as:

105° = 5x

x = 105/5

x = 21

Therefore, the correct answer option is B. 21.

Answer:

The correct answer is option B

21

Step-by-step explanation:

From the figure we can see a number of line segments

To find the value of x

Let the point of intersection of line segments be 'o'

From the figure we get, <KON and <MOL are vertically opposite angles

m<KON = m<MOL

90 + 15  = 5x

5x = 105

x = 105/5 = 21

Therefore the value of x = 21

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