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In Figure the length of XY is 48. What i...

In Figure the length of XY is 48. What is the length of YZ ?

A

`16.4`

B

`70.8`

C

`95.1`

D

`140.3`

Text Solution

Verified by Experts

The correct Answer is:
D

Find a first. `a+2a+156=180, 3a+156=180, 3a=24`, and a = 8. Now use the law of sines. `(YZ)/(sin 156^(@))=(48)/(sin 8^(@))`. Then `YZ ~~ 140.3`.
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