Question

Please help this is late work for geometry and I keep getting this awnser wrong

Answer 1

Answer:

• 58°

Step-by-step explanation:

Consider that adjacent angles are supplementary in any parallelogram (including rhombus).

• m∠J + m∠K = 180°
• (2w + 34) + (4w + 74) = 180

Solve for w:

• 6w + 108 = 180
• 6w = 72
• w = 12

Find the value of ∠J:

• m∠J = 2w + 34 = 2(12) + 34 = 58

Answer 2

Answer:

w = 12°

Step-by-step explanation:

Angle J = Angle H

Angle K = Angle I

So lets find the sum of the entirety of angles

360° = 2w + 34° + 2w + 34° + 4w + 74° + 4w + 74°

360° = 12w + 68° + 148°

360° = 12w + 216°

Subtract 216° from both sides

360° - 216° = 12w + 216° - 216°

144° = 12w

Divide both sides by 12

144°/12 = 12w/12

12 = w

w = 12°

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-Chetan K