Question

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

Answer 1

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.

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

Step 2: Subtract 145 from both sides.

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

Step 3: Divide both sides by 7.

• $\frac{7y}{7} = \frac{35}{7}$
• $y = 5$

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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