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I need help with this-example-1
User Acylam
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1 Answer

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Answer:

10) m∠2 = 139°

11) m∠3 = 139°

12) m∠4 = 41°

Explanation:

Question 10

∠2 and the adjacent angle of 41° are supplementary angles since they lie on opposite sides of the same line; they must add up to 180°

m∠2 + 41° = 180°

m∠2 = 180-41 =139°

Question 11

∠2 and ∠3 are formed by the intersection of two rays. They are vertically opposite angles and therefore they must be equal

m∠3 = m∠2 = 139°

Question 12

Angles ∠3 and ∠4 are supplementary angles (same reasoning as q 10)

Therefore m∠4 = 180° - m∠3

= 180° - 139° = 41°

Note that there are many ways to arrive at the answers for m∠4

  • angles 4 and 41° are opposite vertical angles so they must be equal and m∠4 = 41°
  • angles 2 and 4 are supplementary and therefore m∠2 + m∠4 = 180° => 139 + m∠4 = 180° or m∠4 = 180 - 139 = 41°