Question

Step by step explanation pls, i need to show work && understand process

Answer 1

For 15, x is equivalent to 92. For 16, it is equal to 50.

Use these to solve for other angles if needed.

Explanation:

15

1. As the total measure of any closed polygon is 360 degrees, create an equation. x - 44 + x - 12 + x - 44 + x + x = 360.
2. Combine like terms to get 5x - 44 - 12 - 44 = 360.
3. Combine like terms again. 5x - 100 = 360
4. Since 100 is negative, to get 5x by itself, add 100 to both sides. The positive and negatives will cancel out on the first side, but you will be left with 5x = 460.
5. Divide both sides by 5.
6. Quotient = 92

16

1. As the total measure of any closed polygon is 360 degrees, create an equation. x + 20 + 2x - 70 + x +x + 20 + x + 90 = 360
2. Combine like terms to get 6x + 20 - 70 + 20 + 90 = 360.
3. Combine like terms again to get 6x + 60 = 360.
4. Since 60 is positive, to get 6x by itself, subtract 60 from both sides. The positive and negatives will cancel out on the first side, but you will be left with 6x = 300.
5. Divide both sides by 6.
6. Quotient 50.