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Unknown angle problems (with ale
Solve for I in the diagrarn below.
(24 + 45)
f
TE

Unknown Angle Problems With Ale Solve For I In The Diagrarn Below 24 45 F TE class=

Sagot :

Renkneeidn

Answer:

x = 45

Step-by-step explanation:

The angles with (2x + 45) and x are supplementary angles, meaning they add up to 180°. We can write this statement as an algebraic equation of [tex]2x + 45 + x = 180[/tex] and solve it.

Step 1: Combine like terms.

  • [tex](2x+x)+45=180[/tex]
  • [tex]3x+45=180[/tex]

Step 2: Subtract 45 from both sides.

  • [tex]3x + 45 - 45 = 180 - 45[/tex]
  • [tex]3x = 135[/tex]

Step 3: Divide both sides by 3.

  • [tex]3x/3 = 135/3[/tex]
  • [tex]x = 45[/tex]

Step 4: Check if solution is correct.

  • [tex]2(45) + 45 + 45 = 180[/tex]
  • [tex]90 + 90 = 180[/tex]
  • [tex]180=180[/tex]

Therefore, x = 45.

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