Chapter 10: Angle Relationships in Circles

Question

Line t is tangent to the circle. Find the measure of arc DEF.

The measure of arc DEF is ___ degrees.

Answer 1

The angle formed by a chord and a tangent is equal to 1/2 the measure of the intercepted arc. The angle of 117 measure intercepts arc DEF, so it is equal to 1/2 the measure of arc DEF, so arc DEF measures 234.