Answer:
Step-by-step explanation:
arc ST is 122° , it's the same as that inner angle
arc RT ( not asked for, but needed ) is 180 °
then arc RS is 360 -180-122= RS
58= RS
Then SRT is a racing version of cars from Chrysler / Dodge :0 or also for this problem it's 180+58 =238°
:)
The angle measures of arc are arc ST is 122°, arc RS is 58° and arc SRT is 238°.
A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The diagram shows the circle with Q as center and SRT are the points on the circle.
The angle ∠SQT = 122°
The total angle of circle is 360°.
RT is the diameter of the circle, so the angle measure of the arc RT is 180°.
The angle measure of arc ST is same as the interior angle [tex]122[/tex]°.
Now, the angle measure of arc RS = [tex]180-122[/tex]
⇒ Arc RS = [tex]58[/tex]°
Then, angle measure of arc SRT = [tex]360-122[/tex]
⇒ Arc SRT = [tex]238[/tex]°.
Hence we can conclude that the angle measures of arc are arc ST is 122°, arc RS is 58° and arc SRT is 238°.
Learn more about circles here
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