Question

what is the value of x?
g
x+12°
h
f
x-10°
i
x =
submit

Explanation:

Step1: Recall cyclic quadrilateral property

Opposite angles sum to $180^\circ$.

Step2: Set up the equation

$(x+12^\circ) + (x-10^\circ) = 180^\circ$

Step3: Simplify and solve for x

$2x + 2^\circ = 180^\circ$
$2x = 178^\circ$
$x = \frac{178^\circ}{2}$

Answer:

$89^\circ$