Question Bank • QB_SWCE_EXP_075 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Surveying and Levelling

Subtopic: The Theodolite traversing

Question Statement:

In a closed polygon traverse $ABCDE$ having $n = 5$ sides, calculate the theoretical sum of all interior angles in $\text{degrees}$.

Answer Key:

540

Step-by-Step Solution & Explanation

Theoretical sum of interior angles for an $n$-sided polygon: $\Sigma \theta = (2n - 4) \times 90^\circ = (2(5) - 4) \times 90^\circ = (10 - 4) \times 90^\circ = 6 \times 90^\circ = 540^\circ$
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