Question

98 points

What is the value of x?



Enter your answer in the box.

Answer 1

12

Explanation:

Note that when the two angles are added together, they will equal 180 degrees (being a straight line). Set the equation:

10x - 20 + 6x + 8 = 180

Simplify. Combine like terms:

(10x + 6x) + (-20 + 8) = 180

16x - 12 = 180

Isolate the variable (x). Do the opposite of PEMDAS. Note the equal sign, what you do to one side, you do to the other. Add 12 to both sides

16x - 12 (+12) = 180 (+12)

16x = 180 + 12

16x = 192

Isolate the variable (x). Divide 16 from both sides

(16x)/16 = (192)/16

x = 192/16

x = 12

12 is your value for x.

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Answer 2

x=12

Explanation:

The two angles form a straight line, which is 180 degrees.

Add the two angles together and set equal to 180

10x-20 + 6x+8 = 180

Combine like terms

16x -12 = 180

Add 12

16x-12+12 = 180+12

16x =192

Divide by 16

16x/16 = 192/16

x=12