Question

two friends are sharing one half of a pizza that is divided into three pieces, as shown in the figure. if ( mangle aob = (2x - 4)^circ ) and ( mangle bod = (14x + 12)^circ ), what is the value of ( x )? 1.30 10.75 17.40 162.50

Explanation:

Step1: Identify total angle

$\angle AOB + \angle BOD = 180^\circ$

Step2: Substitute given expressions

$(2x - 4) + (14x + 12) = 180$

Step3: Combine like terms

$16x + 8 = 180$

Step4: Isolate variable term

$16x = 180 - 8$
$16x = 172$

Step5: Solve for x

$x = \frac{172}{16}$
$x = 10.75$

Answer:

10.75