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triangle angle - sum theorem
what is the value of y?

Triangle Angle Sum Theorem What Is The Value Of Y class=

Sagot :

renknee

Answer:

y = 5

Step-by-step explanation:

All angle measures in a triangle add up to 180°.

  • This means that 63 + 82 + 7y = 180

Solving for Y:

Step 1: Combine like terms.

  • [tex](7y) + (63+82)=180[/tex]
  • [tex]7y + 145 = 180[/tex]

Step 2: Subtract 145 from both sides.

  • [tex]7y + 145 - 145 = 180 - 145[/tex]
  • [tex]7y = 35[/tex]

Step 3: Divide both sides by 7.

  • [tex]\frac{7y}{7} = \frac{35}{7}[/tex]
  • [tex]y = 5[/tex]

Step 4: Check if solution is correct.

  • [tex]7(5) + 63 + 82 = 180[/tex]
  • [tex]35 + 63 + 82 = 180[/tex]
  • [tex]98 + 82 = 180[/tex]
  • [tex]180 = 180[/tex]

Therefore, y = 5.

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