Question

Lines CD and DE are tangent to circle A shown below. If CE is 112°, what is the measure of ∡CDE?

Answer 1

The angle is 1/2 the difference of the intercepted arcs.

Answer 2

Join AE and AE

Angle DCA = angle AED (both 90, tangent and radius intercect at right angles)
Angle CAE = 112 Angle at the centre subtended by the arc CE

Angle CDE = 68 angle sum of the quadrilateral DCAE

Answer 3

So 1/2(248-112)=1/2(136)=68

Answer 4

Thank you both. Geometry is really confusing for me, I didnt even know how to write this problem out!

Answer 5

yw