Question

Need help asap please help! 50 points!!!!!!!!!!!!!!!!!!!!!!!! Plese do all problems

Answer 1

Explanation:

8) a) In a parallelogram, opposite sides are equal and parallel.

BC = AD

12x - 1 = x + 21

12x = x + 21 + 1

12x = x + 22

12x - x = 22

11x = 22

x = 22 ÷ 11

x = 2

AD = x + 21

= 2 + 21

AD = 23

In a parallelogram, adjacent angles are supplementary.

∠A + ∠D = 180°

`\sf y - 9 + (y)/(2)=180\\\\ (2y)/(2)+(y)/(2)=180+9\\\\`

`(3y)/(2)=189\\\\y =189*(2)/(3)\\\\y=63*2\\\\y = 126`

∠D = 126 ÷2

= 63

In parallelogram, opposite angles are congruent.

∠B = ∠D

∠B = 63°