Question

In the figure FAC=GBC. find DBC

Answer 1

So angle DBC is equal to 180° - 28° which is 152°

~~

I hope that helps you out!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

Answer 2

`m{\angle}DBC=152^(\circ)`

Explanation:

Given: From the figure, it is given that
`m{\angle}FAC=m{\angle}GBC=28^(\circ)`.

To find: The value of
`m{\angle}DBC`

Solution: From the figure, it is given that
`m{\angle}FAC=m{\angle}GBC=28^(\circ)`.

Now, using the straight line property, we have

`m{\angle}DBC+m{\angle}GBC=180^(\circ)`

Substituting the given values, we get

`m{\angle}DBC+28^(\circ)=180^(\circ)`
`m{\angle}DBC=180^(\circ)-28^(\circ)`

`m{\angle}DBC=152^(\circ)`

Hence, the measure of
`m{\angle}DBC` is
`152^(\circ)`.