Angle Correction for Repeated Measurement

$A + B + C = 41 + 77 + 63$

$A + B + C = 181^\circ$
 

$\text{Error} = 181^\circ - 180^\circ$

$\text{Error} = 1^\circ$   ←   An excess of 1° in sum, hence, subtract the correction
 

Angles with more number of measurements will receive less error correction.

Weight of Error for Angle A = 1/2
Weight of Error for Angle B = 1/6
Weight of Error for Angle C = 1/2

 

Vertex	Angle	Weight	Correction	Corrected Angle
A	41°	1/2	$1^\circ \times \dfrac{1/2}{7/6} = \dfrac{3^\circ}{7}$	40.517°
B	77°	1/6	$1^\circ \times \dfrac{1/6}{7/6} = \dfrac{1^\circ}{7}$	76.857°
C	63°	1/2	$1^\circ \times \dfrac{1/2}{7/6} = \dfrac{3^\circ}{7}$	62.571°
SUM	181°	7/6	1°	180°

 

Most probable value of angle C = 62.571°   ←   answer