How to find length if given one side length and one angle of a non right angle triangle

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Sorry to ask this question I am very bad in trigonometry. Can anyone help me to find length of a non-right-angled triangle if length of one side and one angle is given

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You can't. In general, to solve a triangle you need to know Side-Side-Side, Side-Angle-Side, Angle-Angle-Side, or Angle-Side-Angle.

Your triangle is non-right-angled, so you only know 1 Side and 1 Angle. That's not enough to solve the triangle. When you know that the triangle is right-angled, that means you already know one angle. The additional one Side and one Angle information gives you Angle-Angle-Side, which is why it's possible to solve the triangle in this circumstance.