Answer:
Set your calculator to degree mode.
6/sin(65°) = x/sin(63°)
x = 6sin(63°)/sin(65°) = about 5.899
6/sin(65°) = y/sin(52°)
y = 6sin(52°)/sin(65°) = about 5.217
Perimeter = 6 + x + y = about 17.116
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