Question

Line segment SU is a diameter of circle V.

Answer 1

Answer:

Answer: 112°

Step-by-step explanation:

Angles in a Circle

An inscribed angle is formed between two chords whose vertices lie on the circumference of a circle. The figure shows three chords: TU, SU, and ST. SU happens to also be a diameter because it goes through the center of the circle V.

ST and SU form an inscribed angle of 34°. The corresponding central angle is TVU and its measure is

$m\angle TVU=2*34^\circ=68^\circ$

The required measure of the arc ST is the measure of the angle SVT. Note that SVT and TVU are complementary, thus:

$m\angle TVU+m\angle SVT=180^\circ$

Solving for the measure of SVT:

$m\angle SVT=180^\circ-m\angle TVU$

$m\angle SVT=180^\circ-68^\circ=112^\circ$

Answer: 112°

Answer 2

Answer:

A. 56 degrees

Step-by-step explanation:

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