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Isosceles triangle RST is inscribed in circle P. The measure of arc RT is 130°. What is the measure, in degrees, of ZSRT ?PLEASE HELP!!!!!

Isosceles triangle RST is inscribed in circle P The measure of arc RT is 130 What is the measure in degrees of ZSRT PLEASE HELP class=

Respuesta :

We have an isosceles triangle therefore

arc RT = arc RS =130°

In a circle we have 360°, so we can find arc ST with the next equation

arc ST= 360-130-130=100°

Then in order to find the m

[tex]\begin{gathered} m<\text{SRT}=\frac{1}{2}ST \\ m<\text{SRT}=\frac{1}{2}(100) \\ m<\text{SRT}=50\text{ \degree} \end{gathered}[/tex]

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