Question

In the given figure, determine the value of y, where angle 1 = COF.​

Answer 1

Answer:

it a supplementary angle shoe the figure

Answer 2

Answer:

the line AD and EB. Then, ∠AOB and ∠EODare vertically opposite angles. We know that vertically opposite angles are equal.

⇒∠AOB=∠EOD=6y… (1)

Consider the lines FC and EB. Then, ∠FOEand ∠BOC are vertically opposite angles and are equal.

⇒∠FOE=∠BOC

We know that ∠FOE=4y,

⇒∠BOC=∠FOE=4y… (2)

Now consider the lines AD and CF. Then, ∠FOAand ∠DOC are vertically opposite angles and are equal.

⇒∠FOA=∠DOC

We know that ∠DOC=8y,

⇒∠FOA=∠DOC=8y… (3)

Now we have the measures of all the angles around the point O. The sum of these angles will be 360∘ as it completes a full turn around point O.