Question

two adjacent angles of a parallelogram are ( 3y+20)° and ( 2y-30)°. find the measure of all angles of the parallelogram.

Answer 1

Answer:

angle A=angle D=(3y+20)°

angle B=angle C=(2y-30)°

angle A+angle C+angle B+angle D=360°

(3y+20)°+(3y+20)°+(2y-30)°+(2y-30)°=360°

10y-20=360°

10y=360°-20°

10y=340°

y=34°

angle A=angle C=3y+20=3(34)+20=122°

angle B=angle D=2y-30=2(34)-30=38°

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