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

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Answer 1 · 2017-09-18T17:41:40

#angle C ~~ 1.1470" radians"#

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"#