Question

find angle LPM
figure is given to you​

Answer 1

∠P + ∠Q + ∠R = 180°

∠P + 70° + 60° = 180°

∠P + 130° = 180°

∠P = 50°

NOW,

∠QPL + ∠PLQ + ∠Q = 180°

∠QPL + 90° + 70° = 180°

∠QPL + 160° = 180°

∠QPL = 20°

AND,

∠RPL + ∠PLR + ∠R = 180°

∠RPL = 30°

∠RPM + ∠LPM = 30°

∠RPM = 30° - ∠LPM

GIVEN THAT :- PM is bisector of ∠QPR

∠QPM = ∠RPM

∠QPL + ∠LPM = 30° - ∠LPM

2∠LPM = 10°

∠LPM = 5°

20° + 5° + ∠RPM = 50°

∠RPM = 15°

Answer 2

Step-by-step explanation:

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