Question

Please answer this question now

Answer 1

72°

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 = (1)/(2)(AB + 40)`

Solve for AB

`56 = (AB + 40)/(2)`

Multiply both sides by 2

`56*2 = (AB + 40)/(2)*2`

`112 = AB + 40`

Subtract both sides by 40

`112 - 40 = AB + 40 - 40`

`72 = AB`

Arc AB = 72°