49.4k views
2 votes
If ∠T is inscribed in a semicircle, then the measure of angle T is_____ degrees.

A)180
B)0
C)360
D)90

2 Answers

0 votes
the answer is 90. I just got this question graded 
User Lungu Daniel
by
5.7k points
1 vote

Answer:

Option D) 90°

Explanation:

It is given in a circle with center O, triangle TBC is formed in a semicircle.

We know If ∠ O is the angle formed at center, ∠T will be half of the measure of central angle O. (inscribed angle conjecture)

∠ T =
(1)/(2) of ∠O

=
(180)/(2)=90

Therefore, measure of the angle inscribed in a semicircle will be 90°

Option D). 90° is the correct option.

If ∠T is inscribed in a semicircle, then the measure of angle T is_____ degrees. A-example-1
User Serhii Maksymchuk
by
5.6k points