SOLUTION: In the accompanying diagram of parallelogram ABCD, m∠B = 5x - 6, and m∠C = 3x + 10. Find the number of degrees in ∠D.

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Question 1176613: In the accompanying diagram of parallelogram ABCD, m∠B = 5x - 6, and m∠C = 3x + 10.
Find the number of degrees in ∠D.

Found 2 solutions by MathLover1, ewatrrr:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
parallelogram
so


∠ = ∠
∠ =∠
given
∠, and ∠
since the sum of all angles is , ∠ +∠=








find ∠
∠
∠ degrees
since ∠ = ∠ means ∠ degrees=> answer
check the other angles
∠
∠
∠ degrees
then
∠ degrees

the sum of all angles is degrees

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi



 2m∠B +  2m∠C  = 360°
(5x - 6) + (3x + 10) = 180°
       8x = 176
        x = 22 
  m∠D = m∠B = 5x-6 = 104°

76° + 104° + 76° + 104° = 360° checks
Wish You the Best in your Studies.


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