megsmason329 megsmason329
  • 02-04-2020
  • Mathematics
contestada

In circle Q with
m
∠
P
S
R
=
2
1
∘
m∠PSR=21
∘
, find the angle measure of minor arc
⌢
.
PR
⌢
.
P

Respuesta :

calculista
calculista calculista
  • 09-04-2020

Answer:

The minor arc PR is 42 degrees

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The inscribed angle is half that of the arc comprising

so

[tex]m\angle PSR=\frac{1}{2}(arc\ PR)[/tex]

we have

[tex]m\angle PSR=21^o[/tex]

substitute

[tex]21^o=\frac{1}{2}(arc\ PR)[/tex]

[tex]arc\ PR=21(2)=42^o[/tex]

Remember that the minor arc in a circle is less than 180 degrees

therefore

The minor arc PR is 42 degrees

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