Question

PLEASE HELP
What is the value of y in this equilateral triangle?

Answer 1

5y-15=180

5y=180+15

5y=195

5y÷5y=195÷5

y=39

Answer 2

In the equilateral triangle, the value of y is
`15`.

In an equilateral triangle, all three angles are equal. Therefore, if one angle is represented as
`\(5y - 15\)`, then the other two angles are also
`\(5y - 15\)`.

The sum of the interior angles in a triangle is
`180` degrees. So, for an equilateral triangle:

`\[ (5y - 15) + (5y - 15) + (5y - 15) = 180 \]`

Combine like terms:

`\[ 15y - 45 = 180 \]`

Add
`45` to both sides:

`\[ 15y = 225 \]`

Divide by
`15`:

`\[ y = 15 \]`

Therefore, the value of y in the equilateral triangle is
`15`.