Question

answer the following question , find the value of x in the figure 5x-20, x, 2x+5, x+15

Answer 1

Answer:

Step-by-step explanation:

Exterior angles of any polygon add up to 360°

So adding all of them , it would be

x + 5x - 20 + 2x+ 5 + x + 15

= 9x - 20 + 20

=> 9x = 360 ( as stated above )

x = 360/9

x = 40°

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5x-20 = 5×40 - 20 = 200 - 20 = 180°

2x+5 = 2×40 + 5 = 80 + 5 = 85°

x+15 = 40 + 15 = 55°

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Adding all of these to check if they are 360°

180+85+55+40 = 360

.

Hope this helps :)

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Please provide with a clear image next time

Thanks :)