Answer:
∠HTA = 62
Step-by-step explanation:
In order to find the measure of ∠HTA we must first find the measure of ∠HAT
∠HAT is an inscribed angle and arc mHT is its intercepted arc
An inscribed angle is equal to half the measure of its intercepted arc
If arc HT = 102° and arc HT is ∠HAT's intercepted arc then ∠HAT = one half of 102
102 / 2 = 51
Hence, ∠HAT = 51°
Now we can calculate the measure of ∠HTA
Angles in a triangle add up to equal 180
Hence, 67 + 51 + ∠HTA = 180
180 - 67 - 51 = 62
Hence, ∠HTA = 62°
