An angle drill is not essential for this job but you drilled holes will not be at right angles to the joist with standard length augers or flat bits. To minimise the drilled angle, a flat bit extension, long series flat bit can be used carefully but not ideal. The better solution is use stubby augers, stubby flat bits or hole saws this enable right angle holes to be drilled but access can be cramped.
An angle drill and stubby auger, stubby flat bit or holesaw definitely makes access easier and allows the holes to be drilled at right-angles to the joist. It needs quite a lot of torque, power and battery capacity to drive the auger/bit/holesaw, this is often beyond the means of cheap battery angle drills. At the lowest useable level of tool is the Ryobi, 18V, One series angle drill with the large L-ion battery it will only drill a maximum of 3 x 25mm diameter holes in a 4"x2" joist on a fully charged battery and one hole on a nicad battery. If you use this tool 3 L-ion batteries is a practical minimum requirement. The Dewalt, 18V, DW960 with L-ion batteries is a better tool. The 18v L-ion Makita models are also better. If you have the luxury of a temporary mains supply then a corded right angle drill is still my weapon of choice, there is no substitute for power and torque.
Which ever method you choose to use remember to keep you holes in the approved zone to comply with Part A of the building regulations, see EGBR 10.1.1 or OSG 7.3.1 for details.