B M N in the figure given alongside, Z MNO = 115°, Z QOP = 75° and = 140°, prove that MN // RP. 115° In ZRQO 8. 0 759 140° Р
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Answer:
Area of ΔMPN=
2
1
(MN)(NP)=
2
1
(NQ)(MP)
∴(MN)(NP)=(NQ)(MP)
∴MP=9+4=13
∴MN
2
+NP
2
=169
∴MN
2
=81+NQ
2
∴NP
2
=16+NQ
2
∴81+16+2NQ
2
=169
∴NQ
2
=
2
169−97
∴NQ
2
=36
∴NQ=6.
Step-by-step explanation:
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