Aaron is standing at point C, watching his friends on a
Ferris wheel. He knows that he is looking up at a 57°
angle and the measure of arc BD is 80°. What is the
measure of arc AED?

Respuesta :

Answer: 194

Step-by-step explanation:

Aaron is standing at point C, watching his friends on a Ferris wheel. He knows that he is looking up at a 57° angle and the measure of arc BD is 80°. What is the measure of arc AED?

°

The measure of arc AED of the given figure is; 194°

What is the measure of the angle?

We are given;

Angle when looking up = 57°

Measure of arc BD = 80°

Now, the angle secant theorem states that the measure of an angle whose vertex lies in the interior of a circle is equal to half the sum of the angle measures of the arcs intercepted by it and its vertical angle.

Thus;

measure of arc AED = 80° + 2(57°)

measure of arc AED = 194°

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