Question

Use the figure below to answer the question

Solve for x

Answer 1

x=127

Explanation:

take 180(n-2) where n=6, and you get 180(6-2) which simplified is 180(4) = 720. The sum of all the other angles is 593. subtract 593 from 720 (720-593=127). 127 is the angle of x.

all the steps laid out:

1. 180(n-2)

2. n=6

3. 180(6-2)

4. 180(4) = 720

5. 126 + 112 + 155 + 110 + 90 = 593

6. 720 - 593 = 127

7. x=127

Answer 2

Explanation:

The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides. The problem concerns a polygon with six sides, so we will let n = 6. The sum of the interior angles in this polygon would be 180(6 – 2) = 180(4) = 720. The angle on the bottom left is a right angle because of the square indicator. We know that this is 90 degrees. If we take the sum of the angles that we know we get 593. 720 - 593 = 127. x = 127.