the angle are (5x),(3x+10)degree,(6x-20)degree and (x+25)degree .Find the value of x and the measures of each angle of the quadrilateral.
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Answered by
22
360= 5x+3x+10+6x-20+X+25
X=23
X=23
Answered by
35
Let <A = 5x°, <B = (3x+10)°, <C = (6x -20)°, <D = (x+25)°. Then,
5x+3x+10+6x-20+x+25=180°[angle sum property]
=> 15x + 15 = 180 => 15x = 180-15 = 165
=> x = 165/15 = 11°
<A = 5x = 5×11 = 55°
<B = 3x+10 = 3×11+10 = 43°
<C = 6x-20 = 6×11-20 = 46°
<D = x+25 = 11+25 = 36°
5x+3x+10+6x-20+x+25=180°[angle sum property]
=> 15x + 15 = 180 => 15x = 180-15 = 165
=> x = 165/15 = 11°
<A = 5x = 5×11 = 55°
<B = 3x+10 = 3×11+10 = 43°
<C = 6x-20 = 6×11-20 = 46°
<D = x+25 = 11+25 = 36°
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