Answer:
1.2
2.4√3÷3
3. x=45, y=15
Explanation:
OK,
1. So the first part requires the Pythagoreanism formula which is: b²=a²+c²:
AC²=AB²+BC²====> AC²=(1)²+(√3)²===> AC²=4===> AC=2
2.The second part requires the formula of tan:
tan A=BC÷AB===> tan A=√3÷1===> tan A=√3
tan C=AB÷BC===> tan C=1÷√3===> tan C=√3/3
tan A+tan C=√3+√3/3===> 4√3÷3
3.And the last part requires the equation of angles:
A+B+C=180===>
x+y+x-y+90=180===> 2x=90===> x=45, y=15