GATE 2026 CE (CE2) – Question 62
Interior angles measured at the locations of a closed traverse ABCDA are given in table below.
| Location | Interior angle |
|---|---|
| A | 71° 1′ 40″ |
| B | 104° 54′ 23″ |
| C | 107° 54′ 10″ |
| D | 76° 20′ 42″ |
The total error in the measured angles (in degrees) is ______________ (*rounded off to three decimal places*).
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Show answer and explanation
Correct answer: 0.172 to 0.192
Explanation
The interior angles of a closed four-sided traverse must add up to $(n - 2) \times 180^\circ = 360^\circ$. The measured angles add up to $71^\circ 1' 40'' + 104^\circ 54' 23'' + 107^\circ 54' 10'' + 76^\circ 20' 42'' = 360^\circ 10' 55''$. The total error is $10' 55'' = 0.182^\circ$.