Question

quadrilateral PQRS is parallelogram , if angle P=4x+13 and angle S=5x-22,then find measures of angle Q and angle R​

Answer 1

p+s=180°

(4x+13)+(5x-22)=180°

9(x-1)=180°

(x-1)=20°

x=21

then angle p=4×21+13

=97°

then angle s=5×21-22

=83°

p=r s=q

angle r= 97° angle q=83°