GATE Civil Engineering
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The interior angles of four triangles are given below:

$$\begin{array}{|l|l|}\hline \textbf{Triangle}  &  \textbf{Interior Angles} \\\hline \text{P} & 85^{\circ},50^{\circ},45^{\circ}\\\hline \text{Q} & 100^{\circ}, 55^{\circ},25^{\circ}\\\hline \text{R} & 100^{\circ},45^{\circ},35^{\circ} \\\hline \text{S} & 130^{\circ},30^{\circ},20^{\circ} \\\hline  \end{array}$$

Which of the triangles are ill-conditioned and should be avoided in Triangulation surveys?

  1. $\text{Both P and R}$
  2. $\text{Both Q and R}$
  3. $\text{Both P and S}$
  4. $\text{Both Q and S}$
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