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Geometry 14 Online
OpenStudy (anonymous):

In the figure below, angle GAF is as twice as the angle DAG. Find x.

OpenStudy (anonymous):

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OpenStudy (anonymous):

I really don't want just and answer, i'd like it if someone could walk me through it please?

OpenStudy (♪chibiterasu):

35 • 2 = 70 2x + 50 = 70 You see what I did there? Since the bigger angle is twice as big, it's 35 doubled, therefore making it 70 so we can now solve. Got that? :3

OpenStudy (anonymous):

that's what i was assuming i'd do first, so then i could just subtract the 50 from both side and divide by the 2 and get my answer?o:

OpenStudy (♪chibiterasu):

Yes!! :D

OpenStudy (♪chibiterasu):

The 2 on the left is pretty much canceling out the doubling from the 35, so just subtract 50 from 35 and that's your answer. :3

OpenStudy (anonymous):

wait wait so i got x=10 when i subtracted the 50 from the 70 and originally it was 20 but when divided by 2 i got 10, but im slightly confused about the second thing you had said above

OpenStudy (♪chibiterasu):

See, we have to use PEDMAS, so we need to divide first.

OpenStudy (♪chibiterasu):

Parenthesis Exponent Division Multiplication (for dividing and multiplying, it's whichever comes first) Add Subtract (add or subtract, whichever comes first like divide and multiply)

OpenStudy (♪chibiterasu):

So first divide 70/2, and then subtract 50 from the quotient.

OpenStudy (anonymous):

but subtracting 50 from 35 would give me a -15?

OpenStudy (♪chibiterasu):

Hmm, then I guess it is 10. :/

OpenStudy (♪chibiterasu):

Not sure why that happens, but I guess 10 would be your best answer. o:

OpenStudy (♪chibiterasu):

Let's try plugging it in.

OpenStudy (♪chibiterasu):

2(10) + 50 = 70 20 + 50 = 70 70 = 70 2(-15) + 50 = 70 -30 + 50 = 70 20 = 70

OpenStudy (♪chibiterasu):

Heh, I guess it is 10. :) Good thing to do is always plug it in just to make sure. :P

OpenStudy (♪chibiterasu):

I have to go now, good luck on whatever work you are doing. ;P

OpenStudy (anonymous):

alrighty well thanks for all your help! ^ ^"

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