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nikklg [1K]
3 years ago
12

Plzzz help meeeee Finding Anglessss

Mathematics
1 answer:
mina [271]3 years ago
4 0

Answer:

I got 104

Step-by-step explanation:

From our given information, since Angle DGF from a 90 degree angle, Due to our linear pair rule EGF is also a perpendicular angle. EGF and DGC are vertical angles so Angle DGC is 90 degrees.

Triangle DGC have two interior angles 90 and 37 so using the triangle interior theorem we can find the 3r

d side

90 + 37 +  x = 180

127 + x = 180

x = 53

Know that angle is 53 we can add 53 and 51 together to find Angle D full degree measure is 104.

Adjacent angles in parallelogram are supplementary so angle d plus angle c equals 180.

Angle C measure has to add up to 76 then so

37 + x = 76

x = 39

So the missing angle is 39 and angle c full side measure is 76.

Angle B and Angle C

are also adjacent angles so

76 + x = 180

x=104

B=104

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\begin{array}{lrcll}(1) & 8x + 13y +7 & = & 180 & \\(2)& 9x - 7 + 13y +7 & = & 180 & \\(3)& 8x + 5y - 11 + z & = & 180 &\text{We can rearrange these to get:}\\(4)& 8x + 13y & = & 173 &\\(5) & 9x + 13y & = & 180 & \\(6)& 8x + 5y + z & = & 169 & \\(7)& x & = & \mathbf{7} & \text{Subtracted (4) from (5)} \\\end{array}

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\boxed{\mathbf{ x = 7, y = 9, z = 68}}

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