Question
page 24 of 24 Angles Inside a Circle Quick Check 5 of 55 of 5 Items Question 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° 90° 90° 55° 55° 70° 70° Skip to navigation
Answers
GPT-4o mini
In a circle, if a triangle is inscribed such that one of its sides is a diameter of the circle, then the angle opposite to that side (the inscribed angle) is a right angle (90°) according to the inscribed angle theorem.
In this case, since AB is the diameter of the circle, angle C (opposite to AB) must be 90°.
Thus, the approximate angle measure of B would also be determined using the sides of triangle ABC. However, without the specific lengths of the remaining sides or additional angles, we can conclude that angle B cannot be determined directly from the information provided but can confirm that angle C is 90°.
To determine angle B, we typically need the sine rule or cosine rule, unless further information about the triangle is provided. However, since the question specifically asks about angle B and does not provide enough information to calculate it directly, we may rely upon the fact that angle C is indeed 90°.
Given the provided options, angle B cannot be calculated without additional relationships or measurements.
If you meant to clarify if angle B has options to be selected, 90° should be an option since it relates to angle C in this circle inscribed triangle.
Please check if you have additional information or if you would like to reframe the question for further assistance.
In this case, since AB is the diameter of the circle, angle C (opposite to AB) must be 90°.
Thus, the approximate angle measure of B would also be determined using the sides of triangle ABC. However, without the specific lengths of the remaining sides or additional angles, we can conclude that angle B cannot be determined directly from the information provided but can confirm that angle C is 90°.
To determine angle B, we typically need the sine rule or cosine rule, unless further information about the triangle is provided. However, since the question specifically asks about angle B and does not provide enough information to calculate it directly, we may rely upon the fact that angle C is indeed 90°.
Given the provided options, angle B cannot be calculated without additional relationships or measurements.
If you meant to clarify if angle B has options to be selected, 90° should be an option since it relates to angle C in this circle inscribed triangle.
Please check if you have additional information or if you would like to reframe the question for further assistance.