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>> We want to solve the triangle with the information given.
Alpha equals 110 degrees.
Beta equals 85 degrees.
And a equals 66.
I first draw a line that's roughly to scale.
I use a ruler to draw a line
with length 66 millimeters on a scratch paper.
with length 66 millimeters on a scratch paper.
with length 66 millimeters on a scratch paper.
The opposite angle to a is alpha, and alpha is 110 degrees,
is roughly bigger than a right angle.
[ Silence ]
And beta should be one of the remaining two angles,
but we look at the triangle, it cannot equal to 85 degrees
because 85 degrees is almost a right angle.
We then use the angle sum of a triangle,
alpha plus beta plus gamma equals 180 degrees.
But alpha plus beta as the information given
in the question equals 110 degrees plus 85 degrees equals
195 degrees, which is bigger than 180 degrees.
Thus, no triangle is formed.
[Pause] This example indicates
that we should not just blindly plug information into a formula.