Respuesta :

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

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~Zoey
boffeemadrid

Answer:

[tex]m{\angle}DBC=152^{\circ}[/tex]

Step-by-step explanation:

Given: From the figure, it is given that [tex]m{\angle}FAC=m{\angle}GBC=28^{\circ}[/tex].

To find: The value of [tex]m{\angle}DBC[/tex]

Solution:  From the figure, it is given that [tex]m{\angle}FAC=m{\angle}GBC=28^{\circ}[/tex].

Now, using the straight line property, we have

[tex]m{\angle}DBC+m{\angle}GBC=180^{\circ}[/tex]

Substituting the given values, we get

[tex]m{\angle}DBC+28^{\circ}=180^{\circ}[/tex][tex]m{\angle}DBC=180^{\circ}-28^{\circ}[/tex]

[tex]m{\angle}DBC=152^{\circ}[/tex]

Hence, the measure of [tex]m{\angle}DBC[/tex] is [tex]152^{\circ}[/tex].

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