Determine the measure of each of the labeled angles given that lines m and n are parallel

Step-by-step explanation:

∠1 + 52 = 180   {linear pair}

    ∠ 1 = 180 - 52

      ∠1 = 128

∠4 = 52     {Vertically opposite angles}

∠3 = ∠1      {Vertically opposite angles}

∠3 = 128

∠2  + 44 = 180

       ∠2  = 180 - 44    {linear pair}

        ∠2 = 136

∠5 =  44   {Vertically opposite angles}

∠6 = ∠2     {Vertically opposite angles}

∠6 = 136

∠11 = ∠2    {corresponding angles}

∠11 = 136

∠12 =  44   {corresponding angles}

∠15 = ∠5 {corresponding angles}

∠15 = 44  

∠16 = ∠6   {corresponding angles}

∠16 = 136

∠13 = 52    {corresponding angles}

∠14 = ∠1   {corresponding angles}

∠14 = 128

∠17 = ∠3 {corresponding angles}

∠17 = 128

∠18 = ∠4   {corresponding angles}

∠18 = 52

∠4 + ∠ 5 +∠7 = 180    {angle sum property of triangle}

44 + 52 + ∠7 = 180

         96  + ∠7 = 180

                  ∠7 = 180 - 96

                  ∠7 = 84

∠10 = ∠7     {Vertically opposite angles}

∠10 = 84

∠7 + ∠8 = 180  {linear pair}

84 + ∠8 = 180

       ∠8 = 180 - 84

        ∠8  = 96    

∠9 = ∠8     {Vertically opposite angles}

∠9 = 96

452,489 to the nearest thousand is 452,000