Respuesta :

we know that

The measurement of the external angle is the semi-difference of the arcs it includes.

In this problem

[tex]21\°=\frac{1}{2}[arc\ RU-arc\ SU][/tex]

Solve for the measure of arc SU

[tex]42\°=[arc\ RU-arc\ SU][/tex]

[tex]arc\ SU=arc\ RU-42\°[/tex]

[tex]arc\ SU=119\°-42\°=77\°[/tex]

therefore

the answer is

The measure of the arc SU is [tex]77\°[/tex]

Answer:

77

Step-by-step explanation:

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