Respuesta :

Answer:

C

Step-by-step explanation:

The measure of the inscribed angle DEF is half the measure of its intercepted arc, that is

[tex]\frac{1}{2}[/tex] ∠ DEF = arc ED , that is

arc ED = 2 × 78° = 156°  → C

 

Option c 156 is correct.

Angle of the arc at tangent EF = 78

What is area circle?

Area of circle is given by the pie times square of radius.

Since Angle made by chord with tangent is equal to halve the angle made by cord with its radius.
So

2 ∡DEF = measure of arc ED
= 2 x 78

= 156

Thus, the measure of are ED is 156°

Learn more about circle here:

brainly.com/question/11833983

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