Question

What is the value of x? R 2x+880 Q 78° 8x-940 X+790 s T

Answer 1

We have here that all of these angles must sum 360 degrees since we have here a circle. Then, we have that:

$2x+88+8x-94+x+79+78=360$

Now, to solve this equation, we need to group and sum the like terms:

$2x+8x+x+88-94+79+78=360_{}$$11x-6+157=360\Rightarrow11x+151=360$

To isolate 11x, we need now to subtract 151 to both sides of the equation:

$11x+151-151=360-151\Rightarrow11x=209$

Divide both sides of the equation by 11:

$\frac{11x}{11}=\frac{209}{11}\Rightarrow x=19$

We can check this solution if we substitute the value x = 19 in the original equation (after the simplification process):

$11x+151=360\Rightarrow11\cdot(19)+151=360\Rightarrow209+151=360\Rightarrow360=360$

Since the last result is TRUE, then the value for x = 19 is the correct solution.

In summary, the value for x = 19.