Quadrilateral PQRS is a parallelogram , measure angle P=(2x-30) measure angle S=(2x+10). Find measure angle Q and measure angle R
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in a parallelogram adjacent angles are suplementary
therfore anglep+angles=180
2x+10+2x-30=180implies 4x-20=180impliesx=50 so anglep is 70 angles is 110 in parallalogram opposite angles are equal so angle p=angleR and angleS=angleQ so R=70 and Q=110
therfore anglep+angles=180
2x+10+2x-30=180implies 4x-20=180impliesx=50 so anglep is 70 angles is 110 in parallalogram opposite angles are equal so angle p=angleR and angleS=angleQ so R=70 and Q=110
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