Answer:
C.
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=144-6n----------------------collect like terms
5n+n+6n=144+19-7
12n=156---------------------divide 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)