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Morgarella [4.7K]
3 years ago
8

In the figure FAC=GBC. find DBC

Mathematics
2 answers:
kozerog [31]3 years ago
5 0
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
Lesechka [4]3 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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Hi, help will be appreciated
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Answer:

KM=9

JK= 12.69

Angle JKM=45 degrees

ML=18.97

MKL=60 degrees

Angle L=30 degrees

Step-by-step explanation:

Triangle JKM is a 45, 45, 90 degree triangle so that means both side lengths are equal and the hypotenuse is square root of 2 times a side length. This means, KM will be equal to 9 and JK will be equal to 9 times square root of 2. For triangle KML, you know that the triangle is a 30,60,90 degree triangle. This means the hypotenuse is a^2+b^2=c^2 where c is the hypotenuse.  Since you know that a is 9 and c is 21, plug them into the equation to get 81+b^2=441. Subtract 81 from both sides to isolate b^2 to get 360. b^2 = 360. Then find the square root of 360 which is about 18.97. Therefore, b or ML is equal to 18.97. Also, because we know that MKL is a 30, 60, 90 triangle, we know that angle MKL is equal to 60 degrees. Because we know the angles of MKL(60) and KML (90), we do 180-90-60 to find angle L. Simplify 180-90-60 to 30 and that means that angle L is equal to 30 degrees.  Since we know that JKM is a 45, 45, 90 degree triangle, we know that JKM is equal to 45 degrees. Therefore, KM is equal to 9, JK is equal to 9 times square root of 2 or 9 times 1.41 which is 12.69. Angle JKM is 45 degrees, ML is 18.97, angle MKL is 60 degrees, and angle L is 30 degrees.

If this answer has helped you, please mark this answer as the brainliest

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Answer:

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