if the angles of a quadrilateral are 4x,3x+10,2x+10 and 4x+15 find x and all angles
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let the angles be 4x, 3x + 10°, 2x + 10° and 4x + 15
so, 4x + 3x + 10 +2x + 10 + 4x + 15 = 360 [ quadrilateral sum 360]
13x + 35 = 360
13x = 360 -35 = 325
x = 325/13 = 25
s0 4x = 4 * 25 = 100
3x + 10 = 3 * 25 +10 = 85
2x + 10 =2 * 25 + 10 = 60
4x + 15 = 4 * 25 + 15 = 115
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Answered by
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Answer:
the quadrilateral total angel is=360
4x+3x+10+2x+10+4x+15=360
13x=360-35
13x=325
x=25
hence all angle
1) 4*25=100
2)3*25+10=85
3) 2*25+10=60
4)4*25+15=115
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