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What is the value of Y of a triangle with
3y+13
5y-5
2y+2

1 Answer

1 vote

Answer:

the value of y is 17

Explanation:

The sum of the three angles in a triangle is always equal to 180 degrees. So, you can set up the equation:

3y + 13 + 5y - 5 + 2y + 2 = 180

Now, combine the like terms on the left side of the equation:

(3y + 5y + 2y) + (13 - 5 + 2) = 180

10y + 10 = 180

Now, isolate 10y by subtracting 10 from both sides of the equation:

10y = 180 - 10

10y = 170

Finally, divide by 10 to solve for y:

y = 170 / 10

y = 17

So, the value of y is 17, and each angle of the triangle can be calculated by substituting this value into the expressions:

1st angle: 3y + 13 = 3 * 17 + 13 = 51 + 13 = 64 degrees

2nd angle: 5y - 5 = 5 * 17 - 5 = 85 - 5 = 80 degrees

3rd angle: 2y + 2 = 2 * 17 + 2 = 34 + 2 = 36 degrees

The angles of the triangle are 64 degrees, 80 degrees, and 36 degrees, and their sum is indeed 180 degrees, as expected for a triangle.

User Juananruiz
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