Answered

The number of degrees of an angle of a
triangle exceeds that of the second by
15°
and the circular measure of the third
angle exceeds that of the second by py/
20.Find
all angles in degrees.
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Answer :

Answer:

Step-by-step explanation:

Three angles sum to pi radians

First angle is  x

Second angle is x + pi/ 12     ( 15° is  pi/12)

Third angle is    x + pi/12     +  pi / 20

so

x +    x + pi/12     +    x + pi/12 + pi/20 =  pi

3x +  13/60  pi   = pi

3x = 47/60 pi

x = 47 pi / 180  Radians = 47 degrees

Second angle = 47 pi / 180 + pi / 12 = 31/90 pi radians = 62 degrees

Third angle = 31/90 pi + pi / 20 = 71/180 pi  Radians = 71 degrees