Answer:
∠ A = 123°
Step-by-step explanation:
The central angle A is equal to the arc that subtends it , so
∠ A = arc DE = 5x - 2
The angles subtended by the radii and tangents of a circle are supplementary
2x + 7 + 5x - 2 = 180 ← Antonio is correct
7x + 5 = 180 ( subtract 5 from both sides )
7x = 175 ( divide both sides by 7 )
x = 25
Then
∠ A = 5 - 2 = 5(25) - 2 = 125 - 2 = 123°
