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 November 27th, 2017, 11:34 AM #21 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 What's your point Manus? Those are all "givens". Like it is given that angleADB = 70; so automatically ODE+CDE = 180 - 70 = 110.
 November 27th, 2017, 11:38 AM #22 Senior Member   Joined: Dec 2015 From: holland Posts: 162 Thanks: 37 Math Focus: tetration I used the facts that the sum of the angles in a triangle is 180 degrees as is a straight line. A negative angle doesn't make sense but -5 and 55 are the only solutions of the equations in my previous post.
November 27th, 2017, 11:39 AM   #23
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Quote:
 Originally Posted by Denis What's your point Manus? Those are all "givens". Like it is given that angleADB = 70; so automatically ODE+CDE = 180 - 70 = 110.
Yes but in the post before I gave the answer: -5 and 55.

Quote:
 Originally Posted by manus Angle OED = -5 Angle ODE = 55

November 27th, 2017, 11:48 AM   #24
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Math Focus: tetration
OED = -5
ODE = CDE = 55
CED = 105
Just fill it in.. it is correct.
Quote:
 Originally Posted by manus Angle OED + Angle ODE = 50 Angle CED + Angle CDE = 160 Angle OED + Angle CED = 100 Angle ODE + Angle CDE = 110

Last edited by manus; November 27th, 2017 at 11:55 AM.

November 27th, 2017, 12:04 PM   #25
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Quote:
 Originally Posted by manus OED = -5 ODE = CDE = 55 CED = 105 Just fill it in.. it is correct.
You got to be joking....

November 27th, 2017, 12:13 PM   #26
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Quote:
 Originally Posted by manus OED = -5 ODE = CDE = 55 CED = 105 Just fill it in.. it is correct.
Angle OED + Angle ODE = 50
Angle CED + Angle CDE = 160
Angle OED + Angle CED = 100
Angle ODE + Angle CDE = 110

OED = 54
ODE = -4
CED = 46
CDE = 114

Just fill it in ... it is correct.

November 27th, 2017, 12:26 PM   #27
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Quote:
 Originally Posted by mrtwhs oed = 54 ode = -4
no!!
Oed = 174
ode = -124

December 1st, 2017, 08:44 PM   #28
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Quote:
 Originally Posted by manus . . . but -5 and 55 are the only solutions of the equations in my previous post.
There are infinitely many solutions of the four equations; the equations aren't independent.

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