If angles A, B and C in a triangle ABC are 3x, 5x and 8x+4 respectively, then find all the three angles.
(a) 33, 55, 92
(b) 70, 75, 35
(c) 90, 75, 15
(d) 90, 95, 100
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Answer:
Let A,B,C be 3 x and 5 x and (8x+4)
A+B+C=180°
Therefore,
3x + 5x + 8x + 4 = 180 degree
8x+8x+4=180°
16x=180°-4
x=176/16
x=11
A=3x=3×11=33°
B=5x=5×11=55°
C=8x+4=8×11+4=88+4=92°
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