which one of the following three sets is a reduced residue system modulo 8?
a: {1,2,3,5,7}
b: {1,3,5,7}
c: {2,3,5,7}
d: {1,3,5,8}

option B

Step-by-step explanation:

The reduced residue system modulo is the set for a number in which greatest common divisor is 1 for the set of the number from the set and the number belonging to residue system modulo

for the given problem,

g.c.d(n,8) = 1,

here, n is the number from the set

thus, for the option B {1, 3, 5, 7}

for,  n = 1

g.c.d(1,8) = 1,

for,  n = 3

g.c.d(3,8) = 1,

for,  n = 5

g.c.d(5,8) = 1,

for,  n = 7

g.c.d(7,8) = 1,

hence, for every 'n' belonging to the set given in the option B satisfies the condition

hence, option B is correct

2 x t divided by n

step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.