In the figure, APQR is right angled a Q. ML RQ and
LMR = 130" Find LPM , PML and P PQR
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Answer:Given: ∠Q=90
0
ML∥RQ
∠LMR=130
0
To find: ∠LPM=?
∠PML=?
Statement
1. ∠PML+∠LMR=180
0
⇒∠PML+130
0
=180
0
⇒∠PML=50
0
2. ∠PLM=∠PQR
=90
0
3. ∠PLM+∠PML+∠LPM=180
0
⇒90
0
+50
0
+∠LPM=180
0
⇒∠LPM+140
0
=180
0
⇒∠LPM=40
0
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