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From Karnataka Open Educational Resources
Line 54: Line 54:     
∴∠QPB=x˚ (∵PQ=BQ)<br>
 
∴∠QPB=x˚ (∵PQ=BQ)<br>
Now Let ∠PAQ=<br>
+
Now Let ∠PAQ=<br>
∠QPA=(∵ PQ=AQ)<br>
+
∠QPA=(∵ PQ=AQ)<br>
 
∴In △PAB<br>
 
∴In △PAB<br>
   −
∠PAB+∠PBA+∠APB=180˚
+
∠PAB+∠PBA+∠APB=180˚<br>
 +
 
 +
y˚+x˚+(x˚+y˚)=180˚
 +
2x˚+2y˚=180˚
 +
2(x˚+y˚)=180˚
 +
x˚+y˚=90˚
 +
∴ ∠APB=90˚
    
=problem 3 [Ex-15.2 B.7]=
 
=problem 3 [Ex-15.2 B.7]=