Question

Find the value of x, please help

Answer 1

x = 90 (verified answer) ✅

Explanation:

There are 360° of measure in a quadrilateral. By the definition of a parallelogram, we know that the angle opposite the labeled angle will have the same measure as that labeled angle.

So, 12x + 12x + 8x + 8x = 360

Simplifying all the x's gives us:

40x = 360

Divide by 40

x = 90

Now, we check this

40 (90) = 360

360 = 360 ✅

Answer 2

12x and 8x form a linear pair, so the equation would be- 12x+8x=180
Then, combine like terms- 20x = 180.
Lastly, divide by 20 on both sides.
x=9