Question

if m is parallel to n find the value of x​

Answer 1

Answer:

2y+25=3y{alternative interior angle }

y=25

3y=x+20 {corresponding angle}

75-20=x

x=55

Answer 2

Answer:

x+2y = 2y+25[Vertically opposite angles]

x+20 = 3y [ Corresponding angles]

$x + 20 = 2y + 25 \: \: \: \: eq1 \\ x - 2y = 5 \\ \\ x + 20 = 3y \\ x - 3y = - 20 \: \: \: \: eq2 \\ \\ by \: subtracting \: eq \: 1 \: from \: 2 \: we \: get \\ y = 25 \\ now \: substitute \: the \: value \: of \: y \: in \: eq \: 1 \\ x - 2y = 5 \\ x - 2(25) = 5 \\ x = 5 + 50 \\ x = 55$

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