Need a little . lines cd and de are tangent to circle a shown below: lines cd and de are tangent to circle a and intersect at point d. arc ce measures 126 degrees. point b lies on circle a. if arc ce is 126°, what is the measure of ∠cde? 126° 63° 117° 54°

The measure of ∠CDE=54°

Step-by-step explanation:

Given:- Lines CD and DE are tangent to a circle A.

Lines CD and DE are tangents to circle A and intersect at point D.

Arc measures CE = 126°=∠COE

Let o be the centre of circle A

Meet OC and OE which are radius of given circle A.

Now , we know that radius is perpendicular to the tangent.

Therefore, the angle∠OCD=90° and ∠OED=90°

In quadrilateral OCDE

∠OCE+∠OED+∠CDE+∠COE=360°  ( sum of angles of a quadrilateral=360°)

90+90+∠CDE+126=360

∠CDE=360-306

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step-by-step explanation: