Question

Find the value of X I don’t know the answer?

Answer 1

Answer:  x = 7

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Explanation:

We have n = 8 sides for this octagon.

This means the interior angles sum to 180(n-2) = 180(8-2) = 180*6 = 1080 degrees.

The tickmarks tell us that each side is the same length, so we have a regular octagon. This means that all 8 angles are the same measure. Let's say each angle is y degrees.

1 angle = y degrees

8 angles = 8y degrees

Solving 8y = 1080 leads to y = 1080/8 = 135

Each angle of this regular octagon is 135 degrees.

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Now set 16x+23 equal to 135 and solve for x

16x+23 = 135

16x+23-23 = 135-23

16x = 112

16x/16 = 112/16

x = 7