Question

□ABCD is a parallelogram. If ∠A = (4x + 13)⸰ and ∠D = (5x -22)⸰ then find the measure of ∠C and ∠D? *​

Answer 1

Answer:

Angle C=97°

Angle B=83°

Step-by-step explanation:

Adjacent angle of a parallelogram are supplementary

Hence

=>(4x+13) °+(5x-22) =180°

=>9x-9=180°

=>9x=189°

=>x=189/9

=>x=21

Angle A=4x+13

=4(21) +13

=84+13

=97°

Angle D=5x-22

=5(21) -22

=105-22

=83°

we know that opposite side and opposite angles of parallelogram are congruent.

Therefore

Angle C =97°

Angle B =83°