Question
Try to draw triangles with the following data. Can you draw these triangles. If not, look for the reason why you could not draw so.$\triangle ABC$ in which $m\angle A = 85^\circ, m\angle B = 115^\circ, l(AB) = 5cm.$
✓
Answer
$ \mathrm{m} \angle \mathrm{A}+\mathrm{m} \angle \mathrm{B}=85^{\circ}+115^{\circ}$
$=200^{\circ}>180^{\circ} $
But the sum of the measures of the angles of a triangle is $180^{\circ}$ Hence, $\triangle A B C$ cannot be drawn.
$=200^{\circ}>180^{\circ} $
But the sum of the measures of the angles of a triangle is $180^{\circ}$ Hence, $\triangle A B C$ cannot be drawn.
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