the angles of pentagon are(3x+5)(x+16)'(2x+9)'(3x-8) and (4x-15) find the value of x?
To find the value of x, we need to set up an equation using the given information.
Since the sum of the angles of a pentagon is 540 degrees, we can equate the sum of the given angles to 540:
(3x+5) + (x+16) + (2x+9) + (3x-8) + (4x-15) = 540
Now, let's solve this equation step by step:
Combine like terms:
3x + 5 + x + 16 + 2x + 9 + 3x - 8 + 4x - 15 = 540
13x + 7 = 540
Subtract 7 from both sides:
13x = 540 - 7
13x = 533
Finally, divide both sides by 13 to solve for x:
x = 533 / 13
By dividing, we find that x is approximately 41. Note that the exact value of x can be obtained by dividing 533 by 13 using a calculator or by expressing it as a fraction.
just add them up - they total 540°
hmmm. assuming no typos, then the angles appear to be some in degrees and some in minutes. in that case,
(3x+5) + (x+16)/60 + (2x+9)/60 + (3x-8) + (4x-15) = 540
x = 55.481 - that's °
plug in to figure the angles.