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°.

the answer is a.

step-by-step explanation:

in three games of golf, alex shot two under par four times.