Which angle is supplementary to < eoa   a.< eod b.< aob c.< eoc d.< aoc

we know that

Supplementary angles are angles whose sum is 180

we can see that angle(EOA) and angle(EOC) forms linear line line

so, their sum be 180

so, we get

angle(EOA)+angle(EOC)=180

so, angle(EOA) and angle(EOC) are supplementary angles

so, other angle of angle(EOA) is angle(EOC)

Hence ,

Supplementary angle is angle(EOC)Answer

 The correct option is (C) ∠EOC.

Step-by-step explanation:  We are given to select the angle that is supplementary with ∠EOA.

We know that

any two angles are supplementary if the sum of their measures is 180°.

Now, in the given figure, EO is perpendicular to AC.

So,

Therefore, we get

That is, the sum of ∠EOA and ∠EOC is 180°.

Thus, ∠EOC is supplementary to ∠EOA.

Option (C) is CORRECT.