Internal and external angles

Calculate the remaining internal and external angles of a triangle, if you know the internal angle γ (gamma) = 34 degrees and one external angle is 78 degrees and 40 '. Determine what kind of triangle it is from the size of its angles.

Correct answer:

α =  101.3333 °
β =  44.6667 °
γ =  34 °
α' =  78.6667 °
β' =  135.3333 °
γ' =  146 °

Step-by-step explanation:

α=180(78+40/60)=101.3333°=101°20
β=180(180(78+40/60)+34)=44.6667°=44°40
γ=34=34°
α=78+40/60=78.6667°=78°40
β=180(78+40/60)+34=135.3333°=135°20
γ=18034=146°



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