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The size of the angle is 60°.

Step-by-step explanation:

Let name the regular hexagon as ABCDEF and the Rhombus as ABOF.

Let angle AFO and angle ABO be y (opposite angles of a rhombus are equal)

To Find :

Solution:

As we know polygon ABCDEF is a regular hexagon then we have

As it is a regular hexagon all angles are equal

∴

i.e

Now quadrilateral ABOF is a rhombus given.

Therefore. Opposite angles of rhombus are equal.

∴

Now in a quadrilateral sum of all the angles is 360°

∴

But

Therefore the size of angle x is 60°

the answer is 3/5

step-by-step explanation:

first divide 24 divided by 8 because that is the least common multiple

then divide 40 by 8

then you will get 3/5.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5