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


Line segment TS is tangent to circle O at point N.

Circle O is shown. Angle C A B intercepts arc C B. Arc C B has a measure of 48 degrees.

Line EF is tangent to circle G at point A.

Angle BAC measures 56°.

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

Given: Circle M with inscribed and congruent radii JM and MLProve: m =

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

Circle O is shown. Angle C A B intercepts arc C B. Arc C B has a measure of 48 degrees.

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


In circle D, angle ADC measures (7x + 2)°. Arc AC measures (8x - 8)°.

Line segment BD is a diameter of circle E.

Given: Circle M with inscribed and congruent radii JM and MLProve: m =

Line segment TS is tangent to circle O at point N.

Circle G is inscribed with triangle E F D. Point C is on the circle between points E and F. Angle E is 79 degrees. The measure of arc E D is 104 degrees.

Angle BAC measures 56°.

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

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

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