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Find angle E and F please

Find angle E and F please-example-1
User Aero Wang
by
8.7k points

2 Answers

9 votes

Answer:

Angle F = 60

Angle E = 120

Explanation:

Angle E = Angle G whereas Angle D = Angle F

Angle D + Angle G = 180, Angle E + Angle F = 180

Angle D + Angle E + Angle F + Angle G = 360

In this case, it's Angle E and F. Keep in mind that Angle D is the same as Angle F so you can just do 5x + 2x+12 = 180.

Subtract 12 on both sides to get 168, so the equation is 5x + 2x = 168.

Add 5x and 2x to get 7x. Your final equation is 7x = 168

Divide 7 on both sides to get 24.

So x = 24

Now plug in x in for both angle equations so Angle F = 2(24) + 12 and you get 60.

For Angle E you plug in 5(24) and you get 120.

User Jishnu Raj T
by
9.0k points
3 votes

Answer:D 120 degrees, F 60 degrees

Explanation:

it is a parallelogram which means the 2 angles add up to 180 degrees. 5x+2x+12=180. Then solve, 7x=168, x=24. Then Substitute back into the angles. E is 5*24 which is 120. F is same as D which is 2x+12=60. Hope this helped

User Jeremy Foster
by
8.6k points

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