Question

Find the value of x.

Answer 1

Answer: 14

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Explanation:

The two angles shown are a linear pair. They are adjacent and supplementary.

Supplementary angles add to 180

(8x+1) + (4x+11) = 180

8x+1+4x+11 = 180

(8x+4x) + (1+11) = 180

12x+12 = 180

12x+12-12 = 180-12 ... subtract 12 from both sides

12x = 168

12x/12 = 168/12 ... divide both sides by 12

x = 14

Answer 2

Answer:

x=14

Step-by-step explanation:

A line has 180 degrees, so add your two equations and set them equal to 180. Then all you have to do is solve for x.

$180= 8x+1+4x+11$

$180= 12x+12$

$168=12x$

$14=x$

If you want to find the answer for each angle, then just plug 14 in for x.

8(14)+1= 113

4(14)+11= 67