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III. A.In Circle S, LV and OE are diameter, if m&LSO =50°, find the measure of the following: Answer po please

III AIn Circle S LV And OE Are Diameter If MampLSO 50 Find The Measure Of The Following Answer Po Please class=

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HAKUYUKIGO HAKUYUKIGO

Answer:

1. m Arc LO = 50°

Arc LO is the intercepted arc of the central angle ∠LSO. We know that a central angle and its intercepted arc is equal.

2. m ∠ OSV = 130°

Half a circle is equal to 180°. Arc LV is half the Circle S. LO measures 50°.

180° - 50° = 130°

130° is the measure of arc OV, and its central angle ∠OSV also measures 130°.

3. m∠LVO = 25°

∠LVO is the inscribed angle of the intercepted arc LO, and arc LO measures 50°.

4. m∠ OEV = 65°

Arc OV measures 130°. ∠OEV is the inscribed angle of Arc OV.

5. m ∠ LEV = 90°

Arc LV is a semi-circle. And arc LV measures 180°. ∠LEV is the inscribed angle of arc LV.

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