Answer:
∠ ABC = 51°
Step-by-step explanation:
the inscribed angle ABC is half the measure of its intercepted arc AC , so
5x + 11 = [tex]\frac{1}{2}[/tex] (16x - 26) ← distribute parenthesis
5x + 11 = 8x - 13 ( subtract 8x from both sides )
- 3x + 11 = - 13 ( subtract 11 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Then
∠ ABC = 5x + 11 = 5(8) + 11 = 40 + 11 = 51°
