M∠abc = (6x + 8)° and m∠def = (12x − 8)°. if ∠abc and ∠def are supplementary, what is the measure of each angle?

Since the angles are supplementary, their sum must add up to 180 degrees.

Now that we know x = 10, we put it for each angle to find the measure of the angles.

So, m∠ABC = 68° and m ∠DEF = 112°

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2