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

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

Angle BAC measures 56°.

Line EF is tangent to circle G at point A.

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

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.

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.

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

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

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