解:a=2,b=2√2,c=15° 由余弦定理得:c²=a²+b²-2abcosC=2²+(2√2)²-2·2·2√2·(√6+√2)/4=8-4√3=(√6-√2)²c=√6-√2a由正弦定理得:a/sinA=c/sincsinA=asinC/c=2·sin15°/(√6-√2)=[2·(√6-√2)/4]/(√6-√2)=½A=30°B=180°-A-C=180°-30°-15°=135°角A为30°,角B为135°,c的值为√6-√2