Line et is tangent to circle a at t, and the measure of arc tg is 70°. what is the measure of ∠get? a. 55° b. 20° c. 35° d. 110°

Line ET is tangent to circle A at T

∴ ET ⊥ TN 
∴ ∠ ETN = 90
the measure of Arc TG = 70

∠ TNG = half the measure of Arc TG = 0.5 *70 = 35

Δ ETN ⇒ The sum of all angles = 180

∴∠ GET = ∠ NET = 180 - (90 + 35 ) = 55


∴ The correct answer is option A. 55°

I will calculate this problem in two ways

alternative method 1
we know that
The inscribed angle measures half of the arc it comprises.
∠TNE=(1/2)*arc TG> (1/2)*70°> 35°

the triangle TEN is a right triangle
∠TNE+∠GET=90°> by complementary angles
∠GET=90-35---> 55°

the answer is
∠GET=55°

alternative method 2
we know that
The measure of the external angle is the semi difference of the arcs that it covers.
∠GET=(1/2)*[arc TN-arc TG]---> (1/2)*[180-70]---> (1/2)*110---> 55°

the answer is
∠GET=55°

Look i don’t know the answer to this but someone else will so just wait a little bit longer