We will prove first that PRQ≡PSQ
We need 3 attributes from the each triangle:
QS=QR
PR=PS
PQ=PQ
from PRQ≡PSQ => angles RPQ and SPQ are equal
Let if be O=RS∩PQ
We will prove that triangles RPO≡SPO
We need 3 attributes from the each triangle:
RP=PS
PO=PO
angles RPQ and SPQ are equal
results that angles RPO and SPO are equal(Let's note them with x)
We also know that (as angles) POS≡ROS and POR≡SOQ as opposite angles
We now have than 4x=360 wich means x=90. And we proved the desired result.
You just need to put this explanation into the table. (most if the 3 attributes for each triangle)
The answer is 66.75
I would suggest multiplying 2 in (2x+1) by 2 5/8 first, then multipling 4 by 2 5/8. This will garner you 10 and 5.25. Distribute the 9 into the (). You'll then get 10.5+47.25+9
Add and you will get 66.75
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