query: Find angle $ \angle AED $ in the following triangle.
positive_passages.docid: 150284
positive_passages.text: Problem about angle in isosceles triangle
negative_passages.docid: 93212
negative_passages.text: Express $\sqrt{3}\sin\theta - \cos\theta$ as: $a\cos (\theta + \alpha) $
negative_passages.docid: 127004
negative_passages.text: Extreme of $\cos A\cos B\cos C$ in a triangle without calculus.
negative_passages.docid: 91325
negative_passages.text: Finding acute triangle probability
negative_passages.docid: 116223
negative_passages.text: Show that the angles satisfy $x+y=z$
negative_passages.docid: 28719
negative_passages.text: Question about Angle-Preserving Operators
negative_passages.docid: 52122
negative_passages.text: Find an angle of an isosceles triangle
negative_passages.docid: 12646
negative_passages.text: In acute angle triangle, prove that $\cos (A-B) \cos (B-C) \cos (C-A)\ge 8\cos A \cos B \cos C$
negative_passages.docid: 47342
negative_passages.text: Figure out if a fourth point resides within an angle created by three other points
negative_passages.docid: 139153
negative_passages.text: How do you find a vector in the form  when only the angle and magnitude are given?
negative_passages.docid: 43183
negative_passages.text: basic geometry angle problem
negative_passages.docid: 155636
negative_passages.text: Cross product of two vectors, given magnitudes and angle
negative_passages.docid: 43398
negative_passages.text: Find possible number of triangles with integer sides for a given inradius
negative_passages.docid: 45775
negative_passages.text: In a $\triangle ABC,$ Evaluation of minimum value of $\cot^2 A+\cot^2 B+\cot^2 C$
negative_passages.docid: 58958
negative_passages.text: How to understand dot product is the angle's cosine?
negative_passages.docid: 78448
negative_passages.text: Find the acute angle $x$ for $\tan x = \tan(x+10^\circ)\tan(x+20^\circ)\tan(x+30^\circ)$.
negative_passages.docid: 106141
negative_passages.text: Find the area ratio between ABC and the hatched triangle.