Respuesta :
Answer:
77°
Step-by-step explanation:
[tex]\\ T = \frac{1}{2} (RU - SU)\\ \\ 21 =\frac{1}{2}(119 - SU)\\ \\ 42 = 119 - SU\\ SU=77[/tex]
The measure of mSU from the given diagram is 77 degrees
Circle geometry
The half of the difference of the intecepted arc is equal to the measure of the angle at the vertex
Applying this theorem to the given figure, we will havea;
1/2(119 - mSU) = 21
119 - mSU = 2(21)
119 - mSU = 42
Determine the measure of mSU
mSU = 119 -42
mSU = 77degrees
Hence the measure of mSU from the given diagram is 77 degrees
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