Given: Circle O with diameter LN and inscribed angle LMNProve: is a right angle.


Circle H is inscribed with quadrilateral D E F G. Angle E is 123 degrees. The measure of arc D E is 73 degrees.

Line segment BD is a diameter of circle E.

Angle ABD measures (4x + 10)o. Angle ACD measures (5x − 2)o.

Angle BAC measures 56°.

Line EF is tangent to circle G at point A.

Angle KJL measures (7x - 8)o. Angle KML measures (3x + 8)o.

Line segment GJ is a diameter of circle L. Angle K measures (4x + 6)°.

In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V.

Line segment XY is tangent to circle Z at point U.

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