Which Angle Is Supplementary To <EOA
A.<EOD B.<AOB C.<EOC D.<AOC

Question

contestada

Respuesta :

rejkjavik rejkjavik · Answer 1 · 2018-11-16T04:31:24+01:00

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

Answer Link

ColinJacobus ColinJacobus · Answer 2 · 2019-07-16T09:21:55+02:00

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,

[tex]m\angle EOA=m\angle EOC=90^\circ.[/tex]

Therefore, we get

[tex]m\angle EOA+m\angle EOC=90^\circ+90^\circ=180^\circ.[/tex]

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

Thus, ∠EOC is supplementary to ∠EOA.

Option (C) is CORRECT.