Question

A satellite views the earth at an angle of 20°. What is the arc measure, x, that the satellite can see?

Answer 1

Answer:

The measure of the arc is 160 degrees

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The measure of the external angle is the semi-difference of the arches it covers.

so

$20^o=\frac{1}{2}[(360-x)^o-x^o]$

solve for x

$40^o=360^o-2x$

$2x=360^o-40^o\\2x=320^o\\x=160^o$