Find the measure of the remote exterior angle.

C.

Step-by-step explanation:

The remote exterior angles are angle x and y

The sum of two  interior angles (x +y) is equal to the value of exterior angle (z)

m∠x=(5n-19)°

m∠y=(n+7)°

m∠z=(144-6n)°

Equate as

∠x+∠y=∠z

(5n-19)° +(n+7)°=(144-6n)°

5n-19+n+7=144-6ncollect like terms

5n+n+6n=144+19-7

12n=156divide both sides by 12 to get value of n

n=156/12= 13°

substitute value of n is equations

∠x=(5n-19)° =(5×13)-19 =65-19=46°

∠y=(n+7)°= (13+7)=20°

Measure of remote exterior angle will be 20°+46°=66° (From the theorem of interior angles and exterior angles)