Question

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Answer 1

Answer:

Step-by-step explanation:

∠1 and ∠3 - Corresponding Angles

∠5 and ∠4 - Alt. ext. Angles

∠6 and ∠3 - Alt. Int. Angles

∠7 and ∠6 - Same Side Int. Angles

5)

$m<1=2x\\m <3=3x-70\\m<1=m<3 [Alt \: Ext. \: Angles]\\2x=3x-70\\=>70=3x-2x\\=>x=70\\\\\\m<1+m<2=180[ \:linear\:pair]\\=>(2\times 70)+m<2=180\\=>140+m<2=180\\=>m<2=180-140\\=>m<2=40$

6)

$<6+<7=180[co-int\:angles\:are\:supplementary]\\=>115+<7=180\\=><7=180-115\\=>\:<7=65$

7)

$<2+<3=180[co-int\:angles\:are\:supplementary]\\30+<3=180\\=><3=180-30\\=><3=150$

8)

$<1+<5+<6=180 [ASP\: of \:triangle]\\=><1+68+90=180\\=><1+158=180\\=><1=180-158\\=><1=22$

9)

if <5=<2

then, lines a and b are parallel to each other as <5  and <2 are Alt. Int. Angles

Answer 2

Hope this answer helps you