In the given trapezium LMNP,LM parallel to NP. If angle N = degree and angle P =70degree , then find the measure of angle PLM and angle NML
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1.Angle NML and Angle P are opposite angles.
Therefore, sum of opposite angles =180°
Angle M + Angle P = 180°
Angle M = 180° - 70° = 110°
2. Angle M and Angle N are interior angles. Therefore, their sum is 180°.
Angle M + Angle N =180°
Angle N = 180° - 110° = 70°
3. Sum of angles of a quadrilateral =360°
Angle L + Angle M + Angle N + Angle P = 360°
Angle L + 110° + 70° + 70° = 360°
Angle L + 250° = 360°
Angle L = 110°.
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Answer:
PL IS A TRANSVERSAL AND PLM =110.
AND NEXT IS 80
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