Find measure of each numbered angle, pretty : (

Step-by-step explanation:

∠1 = 52    {vertically opposite angles}

∠1 + ∠2  =96    { corresponding angles}

52 + ∠2 = 96

   ∠2 = 96 - 52 = 44

∠4 = ∠2       { vertically opposite angels}

∠4 = 44

52 + ∠4 + ∠5 = 180  { straight angle}

52 + 44 +∠5 = 180

∠5 = 180 - 44 -52

∠5 = 84

∠3 = ∠ 5 = 84   {vertically opposite angles}

∠7 + 96 = 180   {linear pair}

∠7 = 180 -96 = 84

∠8  = ∠ 7 = 84   {vertically opposite angles}

∠6 = 96 {vertically opposite angles}

∠9 = 52   { alternate interior angles}

∠10 = ∠9 = 52  {vertically interior angles}

80

step-by-step explanation: