Answer:
71
Step-by-step explanation:
in this problem
SR plus TU * 1/2 equals 63
55 plus TU * 1/2 equals 63
TU equals 63 * 2-55
TU- 126-55
TU - 71
therefore
the answer is 71
The measure of the arc TU is equal to 71
The value of Arc TU based on the information given about the circle will be C. 71°.
From the information given, Chords RT and SU intersect at a point and arc SR is 55 degrees while the angle that intercepts the arc is 63 degrees.
Therefore, the value of TU will be:
(SR + TU) × 1/2 = 63°
(55° + TU) × 1/2 = 63°
TU = (63° × 2) - 55°
= (63° × 2) - 55°
= 126° - 55°
= 71°
An illustration of a circle with an arc and chord is attached.
In conclusion, the correct option is C.
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