Question

Find the measure of CD. Round to the nearest tenth.​

Answer 1

Hi, I explained it here. Hope this helps :)

Answer 2

Therefore, mCD = 113.6°

Explanation:

In the given triangle angle formed of the center will be defined by

`sinx=(((36.7))/(2))/(21.8)`

`sinx=(18.35)/(21.8)` = 0.8417

x =
`sin^(-1)`(0.842)

= 57.32°

Now angle formed at the center by CD will be = 2x ( 57.32 )

= 114.64°

Therefore, mCD = 113.6°