Question

In geodetic surveying, sum of angles (degree) of a spherial triangle should not be greater than _____

• A. 540
• B. 180
• C. 270
• D. 360

Answer 1

The correct option is A 540

Spherical triangle is that triangle which is formed upon the surface of the sphere by intersection of three arcs of great circles and the angles formed by the arcs at the vertices of the triangle are called the spherical angles of the triangles.


Properties of a spherical triangle
The following are the properties of a spherical triangle
1. Any angle is less than two right angle or $\pi$ or ${180}^o$
2. The sum of the three angles is less than six right angles or $3\pi$ or ${540}^o$ and greater than the right angle or $\pi$ or ${180}^o$.
${180}^o<(A+B+C)<{540}^o$
3. The sum of any two sides is greater than the third
$a+b>c,a+c>b,b+c>a$