Secants, Tangents, and Angles Answers

Circle Y is shown. 2 chords intersect. Angle 1 intercepts an arc with measure 37 degrees. Angle 2 intercepts an arc with measure 25 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 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.

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 Q is shown. Secant L N and tangent P N intersect at point N outside of the circle. Secant L N intersects the circle at point M. Arc M P is y, arc L P is x, and arc M L is z.

A circle is shown. Secant P N and tangent O N intersect at point N outside of the circle to form an angle with a measure of 45 degrees. The measure of arc M O is 83 degrees.

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.

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 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 Z is shown. Chords A C and B D intersect. The measure of arc C D is 147 degrees and the measure of arc A B is 133 degrees. Angle 2 intercepts the arc with measure 147 degrees. Angle 1 intercepts the arc with measure 133 degrees.