The value of x = 13 and y = 4
From the image, we can see that the triangle has angles of 3x°, 144°, and 2y - 5°. We are also given that the triangle has a perimeter of 95%.
To find x and y, we can use the following steps:
Find the sum of the angles in the triangle.
The sum of the angles in a triangle is always 180°. Therefore, we have:
3x° + 144° + 2y - 5° = 180°
Solve for x and y.
Simplifying the above equation, we get:
3x + 2y = 39
We can solve for x and y using any method of solving linear equations. For example, we can use the substitution method.
Let's substitute y with 39 - 3x in the above equation. We get:
3x + 2(39 - 3x) = 39
Solving for x, we get:
3x + 78 - 6x = 39
-3x = -39
x = 13
Substituting x = 13 in the equation y = 39 - 3x, we get:
y = 39 - 3(13)
y = 4
Therefore, x = 13 and y = 4