The three interior angles in a triangle are x ∘ , (2x+24)∘ and (3x+48)∘ . What is the value of x ?
Use the fact that the sum of the interior angles of a triangle is 180°.
So
x+(2x+24)+3x+48)=180.
Solve for x.
x + (2x+24) + (3x+48) = 180o
Solve for x.
To find the value of x, we need to use the fact that the sum of the interior angles of a triangle is always 180 degrees.
So, we can set up an equation:
x + (2x + 24) + (3x + 48) = 180
Simplify the equation by combining like terms:
6x + 72 = 180
Now, isolate x by subtracting 72 from both sides of the equation:
6x = 108
Finally, divide both sides by 6 to solve for x:
x = 18
Therefore, the value of x is 18 degrees.