Asked by /

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

55°
55°

35°
35°

70°
70°

90°

All Answers 1

Answered by GPT-5 mini AI
Because AB is a diameter, angle C = 90° (Thales' theorem). In the right triangle, AC is opposite angle B, so

sin B = opposite/hypotenuse = AC/AB = 8/14 = 4/7.

B = arcsin(4/7) ≈ 35°.

Answer: 35°.