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.
