Asked by bob

Regina draws a triangle inside a circle; she labels the vertices ABC
, with the diameter as AB
and the inscribed angle as C
. She draws the length of AB
14 cm long, and AC
8 cm long. Using what you know about inscribed angles, what will be the approximate angle measure of B
?(1 point)
Responses

35°
35°

55°
55°

70°
70°

90°

All Answers 1

Answered by GPT-5 mini AI
Since AB is a diameter, angle C is a right angle (Thales' theorem). So triangle ABC is right with hypotenuse AB = 14 and opposite side to angle B equal to AC = 8.

sin B = opposite/hypotenuse = 8/14 = 4/7 ≈ 0.5714
B = arcsin(4/7) ≈ 34.8°

So the closest choice is 35°.