Question

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

Answer 1

y = 5

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.

• 
  `(7y) + (63+82)=180`
• 
  `7y + 145 = 180`

Step 2: Subtract 145 from both sides.

• 
  `7y + 145 - 145 = 180 - 145`
• 
  `7y = 35`

Step 3: Divide both sides by 7.

• 
  `(7y)/(7) = (35)/(7)`
• 
  `y = 5`

Step 4: Check if solution is correct.

• 
  `7(5) + 63 + 82 = 180`
• 
  `35 + 63 + 82 = 180`
• 
  `98 + 82 = 180`
• 
  `180 = 180`

Therefore, y = 5.

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