Two angles of a triangle are 72^@ 53' 51'' and 41^@ 22' 50'' respectively. Find the third angle in radians ?

1 Answer
Sep 18, 2017

angle C ~~ 1.1470" radians"

Explanation:

Convert the first angle into decimal degrees:

angle A = 72^@+(53/60)^@ + (51/3600)^@

angle A = 72.8975^@

Convert the second angle to decimal degrees:

angle B = 41^@ (22/60)^@ (50/3600)^@

angle B ~~ 41.380^@

angle C = 180^@ - angle A - angle B

angle C = 62.7225^@

To convert to radians multiply by (pi" radians")/(180^@)

angle C ~~ 1.1470" radians"