Question

A)
Triangle
is inscribed inside a circle with diameter
; the inscribed angle is
. The anglemeasure at the vertex
is 37°. Using what you understand about inscribed angles, find the arcmeasure of
.
(1 point)
LMN LM N
L
MN
53°
106°
90°
74°
A)
Regina draws a triangle inside a circle; she labels the vertices
, with the diameter as
andthe inscribed angle as
. She draws the length of
14 cm long, and
8 cm long. Using what youknow about inscribed angles, what will be the approximate angle measure of
?
(1 point)
ABC AB
C AB AC
B
55°
90°
35°
70°

Answer 1

A) 74°.
Reason: An inscribed angle measures half its intercepted arc, so arc = 2×37° = 74°.

B) 90°.
Reason: An inscribed angle that subtends a diameter is a right angle (Thales' theorem), so the angle is 90° (the side lengths are irrelevant).