Question

Find measure of each numbered angle, pretty please:(

Answer 1

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}