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maxkor
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I've tried:
BC || EF
How to find angle GDC? I think GDC=7x but why?
I have an answer but how to solve this?
Last edited:
There's another approach. Look at angle BAC. It's 180 - 7x - 7x. (ABC is isosceles, but we don't need this.) So we can get angle DAC in terms of x.maxkor said:https://www.physicsforums.com/attachments/11871
View attachment 11873
I've tried:
BC || EF
How to find angle GDC? I think GDC=7x but why?
I have an answer but how to solve this?
Sorry, that was a typo. They sum to 360. Notice that all three angles sum to form a circle.maxkor said:ok, BAC = 180 - 14x
Can you tel why ADB + BDC + ADC= 180? I don't see it.
Well, it made a lot more sense when I had the typo! :)maxkor said:ADB=180-3x
BDC=180-8x
ADC=11x
ADB + BDC + ADC=180-3x+180-8x+11x=360
And what next??
Interesting, Wolfram confirms that $x=10^\circ$ is also a solution of the same equation. It appears that I misinterpreted the output of Wolfram.maxkor said:Ok but answer is 10 not 0, so how solve this without wolfram.
I've tried to find a trick solution.
There doesn't seem to be a problem 1469 in there:maxkor said:This is the problem with the 4 point kangaroo competition.
maxkor said:I've tried to find a trick solution.
$\triangle CGD$ is not also isosceles.Klaas van Aarsen said:If only we could prove that $\triangle CGD$ is similar to $\triangle AGC$.
We have 1 angle that is the same.
We either need another angle, or we need to prove $\triangle CGD$ is also isosceles.
The "angle in the triangle" problem is a common geometry problem that involves finding the measure of one or more angles in a given triangle. It is often used to test students' understanding of basic geometric concepts and their ability to apply mathematical formulas to solve problems.
Any type of triangle can be used in the "angle in the triangle" problem, including equilateral, isosceles, and scalene triangles. The type of triangle used will depend on the specific problem and the given information.
There are several methods for finding the angle in a triangle, including using the Pythagorean theorem, the Law of Sines, and the Law of Cosines. These methods involve using different formulas and equations to solve for the missing angle.
To solve the "angle in the triangle" problem, you will need to know the measurements of at least two sides of the triangle and/or the measures of any known angles. This information can be used to apply the appropriate formula and solve for the missing angle.
To check your answer for the "angle in the triangle" problem, you can use the properties of triangles, such as the fact that the sum of the angles in a triangle is always 180 degrees. You can also use a protractor to physically measure the angle and compare it to your calculated answer.