Combine parallel-line, triangle and parallelogram properties

Answer: 80

1. Parallel lines give ∠ABC= ∠ADE=40∘.
2. Triangle angles sum to 180∘
3. x=180−60−40=80∘.

Answer: 130

1. Adjacent angles A and B sum to 180∘:(20+x)+(2x+70)=180.
2. Thus x=30∘.
3. Opposite angles B and D are equal
4. y=2×30+70=130∘.

Answer: 95

1. Parallel lines give ∠ABC= ∠ADE=45∘.
2. Triangle angles sum to 180∘
3. x=180−40−45=95∘.