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2 years ago

In the figure FAC=GBC. find DBC

Mathematics

2 answers:

kozerog [31]2 years ago

5 0

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

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Lesechka [4]2 years ago

5 0

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 $152^{\circ}$ .

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