A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 10% microphotonics; 24% home electronics; 15% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research? Select: A) 8° B) 10° C) 18° D) 36° E) 50°
Here all percentage when summed we need to get 100% . As per data  10+24+15+29+8= 
<gadget id="calculator"> 10+24+15+29+8</gadget>
<output>86</output>
86%.   So remaining 14% is the balance for the astrophysics.   Since this is a circle all percentage must be equal to 360 degrees.   100% ---- 360 degrees   Then 14% will be 50 degrees..   IMO option 50°.
<result>E</result>
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 10% microphotonics; 24% home electronics; 15% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?