Math, asked by Mohdfaijan249, 9 months ago

please answer me my questions and correct don't fake answer I will report you okay ​

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Answers

Answered by lordakash3214
1

Step-by-step explanation:

given:- angle MST =20° , And SM is perpendicular on PT

therefore angle SMT= 90°

= Angle MST +Angle STM +Angle SMT =180° (angle sum property )

= 20°+ Angle STM + 90°=180°

= 110°+ Angle STM= 180°

= Angle STM =180°-110°

= Angle STM = 70°

since POST is a parallelogram

therefore,

Angle STM= AngleSON (opposite side of a parallelogram)

hence , Angle SON= 70°

Angle SNO =90° ( since SN is perpendicular on OP)

Angle SNO +Angle NOS+ Angle OSN =180°(A.S.P)

90°+70°+Angle OSN = 180°

160° +Angle OSN= 180°

Angle OSN 20°

AngleNSM= Angle OSN+Angle MST

Angle NSM = 20°+20°

Angle NSM= 40°

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