Geometry Question

Question

A circumscribed angle, angle DEF, is tangent to Circle C at points D and F and angle DCF is a central angle. Point P lies on the major arc defined by points D and F.

If the angle measure of DEF=3x degrees, and the major arc FPD=315 degrees, what is the measure of angle DEF?

45 degrees

112 degrees

120 degrees

135 degrees

145 degrees

Answer 1

Draw and label a diagram!

m∠DCF = 45º

3x + 45 = 180º

3x = 135º

x = 45º