What is the value of x?

12

Step-by-step explanation:

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

16x - 12 = 180

16x = 192

x= 12

Hi there!

This is an example of supplementary angles, angles that sum up to 180° (they form a straight line).

Summing these two angles up equals 180°, so:

180° = (10x - 20)° + (6x + 8)°

We can drop the ° sign for ease of solving.

180 = 10x - 20 + 6x + 8

Combine like terms:

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

180 = 16x - 12

Add 12 to both sides:

192 = 16x

Divide both sides by 16:

192/16 = 16x/16

x = 12°

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