Respuesta :

In the given diagram, the measure of angle DAE is 48°

Circle Geometry

From the question, we are to determine the measure of angle DAE

From the given information,

96° is the angle subtended by the arc at the center of the circle

From one of the circle theorem,

Angle at the center is twice the angle at the circumference

∴ 2 × ∠DAE = 96°

∠DAE = 96°/2

∠DAE = 48°

Hence, the measure of angle DAE is 48°

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In the given diagram, the measure of angle DAE is 48°

We have given that,Circle Geometry

From the question, we are to determine the measure of angle DAE

We have given that

96° is the angle subtended by the arc at the center of the circle

What is the circle theorem?

The angle at the center is twice the angle at the circumference.

That can be written as

∴ 2 × ∠DAE = 96°

∠DAE = 96°/2

∠DAE = 48°

Hence, the measure of angle DAE is 48°

Learn more on Circle Geometry here:

brainly.com/question/27666353

#SPJ1

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