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riadik2000 [5.3K]
3 years ago
9

DEFG is an isosceles trapezoid

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0

Answer:

x=8

Step-by-step explanation:

Since it is an isosceles trapezium, we know that GF and DE are parallel, and that EF = GD. Since we know that co-interior angles always add up to 180 degrees, we know that:

Angle F (13x+4) + Angle E (9x) = 180

So we can write an equation for x and solve it.

13x+4+9x=180

22x + 4 = 180

22x + 4 - 4 = 180 - 4

22x = 176

22x/22 = 176/22

x = 8

Hope this helped!

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