It is triangle ACK by the rule of AAS.
Angle, Angle, Side
Answer:
56°
Step-by-step explanation:
the question tells us the 2 triangles are similar, thus the angoes are identical on the 2 triangles. with this right triangle, you can see there is a long leg, short leg, and the hypotenuse. in order to solve this, you need to find the angle on the first triangle that corresponds to the second triangle. in this case, we can conclude angle K corresponds to angle E because the angles are adjacent to the long leg and hypotenuse, and opposite to the short leg.
When 
, we have
and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)
Suppose this is true for 
, that
Now for 
, we have
so we know the left side is at least divisible by 
by our assumption.
It remains to show that
which is easily done with Fermat's little theorem. It says
where 
is prime and 
is any integer. Then for any positive integer 
,
Furthermore,
which goes all the way down to
So, we find that
QED
First, you must convert 55 mm to cm
55/10 = 5.5 cm
since every cm equals 10 mm
now add up all sides
perimeter= (Length x 2) + (width x 2)
(32 x 2) + (5.5 x 2)
64 + 11
Answer is 75 cm
