Question

Please answer this question now

Answer 1

Answer:

72°

Step-by-step explanation:

From the figure given, angle D intercepts arc ABC. According to the Inscribed Angle Theorem:

m < D = ½(ABC) = ½(AB + BC)

Thus,

$56 = \frac{1}{2}(AB + 40)$

Solve for AB

$56 = \frac{AB + 40}{2}$

Multiply both sides by 2

$56*2 = \frac{AB + 40}{2}*2$

$112 = AB + 40$

Subtract both sides by 40

$112 - 40 = AB + 40 - 40$

$72 = AB$

Arc AB = 72°