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

Answer:

$m{\angle}DBC=152^{\circ}$

Step-by-step 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 $152^{\circ}$.