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∠PAB+∠PBA+∠APB=180˚<br>
 
∠PAB+∠PBA+∠APB=180˚<br>
   −
y˚+x˚+(x˚+y˚)=180˚
+
y˚+x˚+(x˚+y˚)=180˚<br>
2x˚+2y˚=180˚
+
2x˚+2y˚=180˚<br>
2(x˚+y˚)=180˚
+
2(x˚+y˚)=180˚<br>
x˚+y˚=90˚
+
x˚+y˚=90˚<br>
 
∴ ∠APB=90˚
 
∴ ∠APB=90˚
  

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