In Δ ABC, mC = 3 mB = 2 (mA + mB). Then find the measures of all three angles.
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given
C = 3B
3B = 2(A + B)
3B = 2A + 2B
2A = B
A = B/2
now
A + B + C = 180
B/2 + B + 3B = 180
(B + 2B + 6B) /2 = 180
9B/2 = 180
B = 180*2/9
= 360/9
B = 40°
A = B/2
= 40/2
A = 20°
C = 3B
= 3*40°
= 120°
thus, angles are 20°, 40° , and 120°
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