In a triangle all sides are equal one angle is (5x-6) another one is (8x+4) find the value of x
A.11
B.13
C.-10/3
D.14
To find the value of x, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Since we know that all sides are equal, let's call the measure of each side "s".
Let's write an equation for the sum of the angles:
(5x-6) + (8x+4) + ?? = 180
Since we know that all sides are equal, we can assume that the remaining angle is also equal to (5x-6).
So, the equation becomes:
(5x-6) + (8x+4) + (5x-6) = 180
Combining like terms:
18x - 8 = 180
Adding 8 to both sides:
18x = 188
Dividing both sides by 18:
x = 188/18
Simplifying:
x = 10.44444...
Approximately, x = 10.44
None of the given answer choices match this value of x, so this might be a typo, or there might be additional information missing from the problem.