Question

Please help.

1) LaTeX: m\angle1=\:\:\:\:\:\:\:\:^\circm ∠ 1 = ∘

2) LaTeX: m\angle2=\:\:\:\:\:^\circm ∠ 2 = ∘

3) LaTeX: x\:=\:\:\:\:m\:\left(exterior\:angle\right)\:=x = m ( e x t e r i o r a n g l e ) =

Answer 1

9514 1404 393

Answer:

1. Angle 1 = 139°
2. Angle 2 = 41°
3. x = 29; exterior angle = 131°

Explanation:

These problems let you make use of the fact that the sum of the remote interior angles is equal to the exterior angle.

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1. 53° +86° = ∠1

139° = ∠1

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2. ∠2 +92° = 133°

∠2 = 133° -92°

∠2 = 41°

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3. (x +9)° +93° = (4x+15)°

87 = 3x . . . . . . . . . . . . . . . . subtract x+15°

29 = x . . . . . . . divide by 3

The exterior angle is ...

(4x +15)° = (4·29 +15)° = 131° . . . exterior angle