To find the third angle of a triangle, we can use the fact that the sum of all angles in a triangle is 180 degrees.

Given angles:
- Angle 1: 72° 53' 51"
- Angle 2: 41° 22' 50"



Before we proceed, we need to convert the given angles from degrees, minutes, and seconds to decimal degrees.

To convert minutes to degrees, we divide the number of minutes by 60. Similarly, to convert seconds to degrees, we divide the number of seconds by 3600.


72° 53' 51" = 72 + (53/60) + (51/3600) = 72.8975°


41° 22' 50" = 41 + (22/60) + (50/3600) = 41.3806°



Now that we have the decimal degree values for the given angles, we can find the third angle by subtracting the sum of the two given angles from 180 degrees.


Third Angle = 180° - (Angle 1 + Angle 2)

Substituting the values:
Third Angle = 180° - (72.8975° + 41.3806°)
Third Angle = 180° - 114.2781°
Third Angle = 65.7219°

Therefore, the third angle of the triangle is 65.7219 degrees.



The third angle of the triangle is 65.7219 degrees.

The third angle will be. 180 degree - (72 degree 53'51" + 41degree22'50" ) = 180 degree - 124 degree 26'41" = 55 degree 33' 19".