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olga2289 [7]
3 years ago
9

HELP DUE IN 15 MINS!

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Answer:

Step-by-step explanation:

Yes!

B. Both pairs of opposite angles are congruent.

A. Not A. The sides are not marked the angles are.

C. Not C. That would make a parallelogram. One of the conditions (sides) is not given.

D. Not D. Not given. It would make a parallelogram if that was what was given, but it is not.

E. Not E. Not given.

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Step-by-step explanation:

First solve the angles in the top triangle:

FHG = 180 - 135 = 45 (angles on a straight line = 180)

FGH = 180 - 105 = 75 (angles on a straight line = 180)

Using these we get HFG = 180 - 45 - 75 = 60 (angles in a triangle = 180)

Then because HFG is directly opposite DFC on the crossed lines, we know they are equal: DFC = 60

FDC = 180 - 119 = 61 (anges on a straight line = 180)

Now if we label ABC (the target angle) as x then we known ACB = 180 - 40 - x.

With this we know FCD = 180 - ACB = 180 - (180 - 40 - x) = 40 + x (angles on a straight line).

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