Question 480043
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what is the measure {{{highlight(cross(if))}}} <U>of</U> the vertex angle of an isosceles right triangle when one of its base angles has a measure of 60 degree?
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The formulation of this problem is below floor level, &nbsp;i.e. &nbsp;is completely absurdist.


In &nbsp;Euclidean geometry on the plane, &nbsp;there is &nbsp;{{{highlight(highlight(no))}}} &nbsp;such an isosceles right triangle 
with one of its base angle measure of 60 degrees.



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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Simply the composer, who creates such problems, 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;is &nbsp;TOTALLY &nbsp;and &nbsp;FATALLY &nbsp;illiterate and incompetent in &nbsp;Math.


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As tutor @Theo solves this problem, &nbsp;leaving without his comments or corrections 
the fact that the problem's formulation is incorrect, &nbsp;it forces me to assume 
that @Theo either did not read the problem or did not understand what was written in the post.



In this form, &nbsp;the problem is so &nbsp;{{{highlight(highlight(DEFECTIVE))}}}, &nbsp;that its only place is in a garbage bin.


It is also good for scaring people on Halloween.



Serious &nbsp;{{{highlight(highlight(reprimand))}}} &nbsp;to the creator of this problem for his or her complete incompetence in &nbsp;Math.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The interesting fact is that an isosceles right triangle with base angles of 60 degrees 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;can exist on a sphere. &nbsp;This is possible in spherical geometry, 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;which differs significantly from Euclidean (flat plane) geometry.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I'm saying this to cheer you up and make you laugh.