PQRS is a trapezium with PQ || SR. IF angle P = 30° , angleQ =50°,find angle R and angle S
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PQ||SR (Given)
So, angle QPS+angle PSR= 180° (co-interior angles)
=> 30° + angle S= 180°
=> angle S= 180°-30°
=> angle S= 150°
Similarly,
angle PQR+ angle QRS= 180°
=> angle R= 180°-50°
=> angle R= 130°
So, angle QPS+angle PSR= 180° (co-interior angles)
=> 30° + angle S= 180°
=> angle S= 180°-30°
=> angle S= 150°
Similarly,
angle PQR+ angle QRS= 180°
=> angle R= 180°-50°
=> angle R= 130°
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