The angle of a triangle are in arithmetic progression if one is 36 degree then find all the angles in radians
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Answered by
7
Answer:
the angles are
36°, 60°, 84°
Step-by-step explanation:
angles are in AP
let the angels be a, a+d, a+2d
sum of all angles of triangle is 180
a + a + d + a + 2d = 180
3a + 3d = 180
3(36) + 3d = 180
108 + 3d = 180
3d = 180 - 108
3d = 72
d = 72/3
d = 24
therefore the angles are
a = 36
a + d = 36 + 24 = 60
a + 2d = 36 + 2(24) = 36 + 48 = 84
36°, 60°, 84°
hope you get your answer
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2
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refer to the attached picture
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