please solve this question...
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Step-by-step explanation:
2x+10+x-5+x+y+15=180
4x+y=180-20
4x+y=160-------(i)
x-5+2y-10+x+y+15=180
2x+3y=180°----------(ii)
from i and ii
solve and find x and y
thanx
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Here is the answer mate
Since AB || CD
angle APQ = angle PQR. [ alternate interior angles ]
》 2x + 10 = 2y - 10
》2x + 10 + 10 = 2y
》2x + 20 = 2y ............(1)
》 2 ( x + 10 ) = 2(y)
》 x + 10 = y ...... (2)
In triangle PQR, we have
angle P + angle Q + angle R = 180°
x - 5 + 2y - 10 + x + y + 15 = 180°
Now from (1) & (2) , we have
x - 5 + 2x + 20 + x + x + 10 + 15 = 180°
5x + 50 = 180
5x = 130
x = 26
Put x = 26 in (2) , we have
y = x + 10 = 26 + 10 = 36
Thus
y = 36
x = 26
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