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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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CivilAdvanced Survey
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In which is the following angle when two survey lines are meet at one point.

A

Transverse angle

B

Included angle

C

Deflection angle

D

Deviated angle

Correct Answer

⚙️ TE • Technical Concept & PrincipleCivilAdvanced Survey
Option B

Included angle

Quick Summary:

When two survey lines meet or intersect at a single point, the angle formed between them is called the included angle. It can be either an interior angle or an exterior angle, depending on the direction of the traverse.

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

When two survey lines meet or intersect at a single point, the angle formed between them is called the included angle. It can be either an interior angle or an exterior angle, depending on the direction of the traverse.

🔢 Key Formulas

∑θint=(2n−4)×90°\sum \theta_{\text{int}} = (2n - 4) \times 90°∑θint​=(2n−4)×90° — Sum of interior included angles for a closed polygon

∑θext=(2n+4)×90°\sum \theta_{\text{ext}} = (2n + 4) \times 90°∑θext​=(2n+4)×90° — Sum of exterior included angles for a closed polygon

⚙️ Working Principle

In a closed or open traverse, at any instrument station where two lines meet, the included angle is measured directly using a theodolite by turning the telescope from the back station to the fore station. The measured angle depends on whether the measurement is taken clockwise or counterclockwise.

📌 Key Points
  • ▸

    Included angles are measured at the junction where two survey lines intersect.

  • ▸

    Included angle can be measured clockwise from the back sight to the fore sight.

✅ Advantages
  • ▸

    Minimizes observation errors during closed traverse calculations.

  • ▸

    Provides a direct geometric check for closed polygon traverses using sum formula.

❌ Disadvantages / Limitations
  • ▸

    Requires careful identification between interior and exterior angles.

  • ▸

    Reading errors at a single vertex affect subsequent station computations.

🛠️ Applications / Uses
  • ▸

    Closed traverse surveying for boundary mapping and property surveys.

  • ▸

    Traverse alignment calculations in civil construction projects.

📄 Additional Information
  • ▸

    Option A (Transverse angle) is an informal or misstated term; traverse angles are referred to as included or deflection angles.

  • ▸

    Option C (Deflection angle) is the angle by which a survey line deflects or deviates from the extension of the preceding line.

  • ▸

    Option D (Deviated angle) is a non-standard surveying term.

📊 Diagram / Illustration
Included Angle at Line IntersectionStation AStation B (Meeting Point)Station CIncluded Angle θ
✅

B is correct — The angle formed directly between two meeting survey lines at a single station vertex is defined as the included angle.

Core Concepts Used
Click any tag to open in AI Tutor
Included Angle Theodolite Traversing Deflection Angle
💡 EXAM TIP

Always remember: Deflection Angle = 180°−Included Angle180°- \text{Included Angle}180°−Included Angle (interior). Questions frequently test this conversion in closed traverse adjustments.

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