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two angles of a triangle are 5pie by 9 in radian and 5pie by 18 in rad . find the degree and radian and measure the third angle.


jaywadmare 28th Sep, 2020
Answer (1)
ARYAN SAGAR 28th Sep, 2020

Dear student,


In any triangle ,sum of angles in a triangle is pie



Now the two angles in radians are given as : 5pie/9 and 5pie/18.



Therefore the third angle (in radians) will be :- (pie) - 5pie/9 - 5pie/18 = pie/6



Therefore the third angle is = pie/6 rad


And,

third angle in degrees will be = (pie/6) × (180/pie) = 30 degrees

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