Trimming Adapters For Paired-End Sequences

Hi all,

I got illumina paired end fastq files. They told me to trim read 2 at the beginning for ~20 to 30 bp due to the WGA adapters.

Can we find the adapters by looking in to the quality?
Which tool is good for trimming adapters by keeping the paired nature of the sequences?
Is there any issues will come if I use bowtie2 in the downstream for aligning the trimmed sequences(trimming only one in pair) with ref?

Following is the example of read2:

@HWI-ST1162:139:C0H7WACXX:5:1101:1865:1112 2:N:0:CGATGTA
GTCATGGTGTCTCTTCACAACAATGGAAACCCTAACTAAGACAAAGACTAATAGAAGTGTTTTTTTAGGAA

+

<9;>;>?1=>;=9=?########################################################

Thanks,
Deepthi