m∠ABC = (9x + 4)° and m∠DEF = (13x − 22)°. If ∠ABC and ∠DEF are supplementary, what is the measure of each angle?

∠ABC measures 85° and ∠DEF measures 95°.

Step-by-step explanation:

We are given that ∠ABC and ∠DEF are supplementary. Then by definition:

Substitute:

Solve for x. Combine like terms:

Add:

And divide. Hence:

To find the measure of ∠ABC, substitute and evaluate:

And:

In conclusion, ∠ABC measures 85° and ∠DEF measures 95°.

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two