Secants, Tangents, and Angles Answers

Circle O is shown. Tangents C B and A B intersect at point B outside of the circle. The measure of the first arc formed is 126 degrees, and the measure of the second arc formed is 234 degrees.

Circle O is shown. 2 secants intersect at a point outside of the circle to form angle 1. The first arc formed is d, and the second arc formed is b. Arcs a and c are the other 2 arcs outside of the secants.

A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercepted arcs?

Circle C is shown. 2 secants intersect at a point outside of the circle to form angle 1. The first arc formed is 36 degrees, and the second arc formed is 106 degrees.

A circle is shown. Secant R T and tangent U T intersect at point T outside of the circle to form an angle with a measure of 21 degrees. Secant R T intersects the circle at point S. Arc R U is 119 degrees.

Circle P is shown. Tangents X Y and Z Y intersect at point Y outside of the circle to form an angle with measure 72 degrees. The first arc formed has a measure of x degrees, and the second arc has a measure of (360 minus x) degrees.

Circle P is shown. Tangents R S and T S intersect at point S outside of the circle to form angle x. The first arc formed is arc y, and the second arc formed is arc z.

Circle O is shown. Secants C A and C E intersect at point C outside of the circle to form an angle with measure 36 degrees. Secant C A intersects the circle at point B, and secant C E intersects the circle at point D. Arc B D is 48 degrees.

Circle O is shown. Tangents C B and A B intersect at point B outside of the circle. The measure of the first arc formed is 150 degrees, and the measure of the second arc formed is 210 degrees.

Circle O is shown. Tangents X Z and Y Z intersect at point Z outside of the circle. The first arc formed is arc b, and the second arc formed is arc a.