Can 5, 2, 4 be the measures of the sides of a triangle?

Yes

Step-by-step explanation:

In order to form a triangle, the sum of two sides must be GREATER than the third side.

a + b > c    &      a + c > b      &     b + c > a

5 + 2 > 4    &      5 + 4 > 2     &     4 + 2 > 6

    True                  True                   True

The sides 5, 2, 4 satisfy the rules for forming a triangle.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value