Given parallelogram ABCD, find x and m< B
2 answers:
Answer:
x = 38°
∠B = ∠D = 78°
Step-by-step explanation:
3x - 12° + 2x + 2° = 180°
3x + 2x = 180° + 12° - 2°
5x = 190°|:5
x = 38°
∠B = ∠D = 2x + 2° = 78°
Answer:
x = 38, ∠ B = 78°
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary, then
3x - 12 + 2x + 2 = 180
5x - 10 = 180 ( add 10 to both sides )
5x = 190 ( divide both sides by 5 )
x = 38
Then
∠ D = 2x + 2 = 2(38) + 2 = 76 + 2 = 78°
The opposite angles in a parallelogram are congruent , so
∠ B = ∠ D = 78°
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