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If one angle of a triangle is three times a second angle and the third is 20 degrees more than the second angle, the second angle, in degrees, is

If one angle of a triangle is three times a second angle and the third is 20 degrees more than the second angle, the second angle, in degrees, is Correct Answer 32

Let, third angle be = x Second angle = x - 20 First angle = 3( x - 20) = 3x - 60 Sum of angles of triangle = 180 Hence ATQ, 3x - 60 + x - 20 + x = 180 or,5x - 80 = 180 or,5x = 180 + 80 = 260 or,x = 260/5 = 52 ∴Second Angle = 52–20 = 32° (ans)

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