Question

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Answer 1

Answer:

x - 10 + x + 40 = 180 ( linear pair )

2x + 30 = 180

2x = 180 - 30

2x = 150

x = 75

SO x -10 = 75 - 10 = 65

     x + 40 = 75 + 40 = 115

    x - 10 = y ( vertically opposite angles )

     y = 65

   SIMILARLY

    z = 115

Answer 2

Answer:

$x^{0}$ = $75^{0}$

$z^{0}$ = $115^{0}$

$y^{0}$ = $65^{0}$

Step-by-step explanation:

$(x-10)^{0}$ and $(x+40)^{0}$ are linear pair so,

$(x-10)^{0}$ + $(x+40)^{0}$ =  $180^{0}$

$x^{0} - 10^{0}$ $+ x^{0} + 40^{0}$ = $180^{0}$

$2x^{0}$ $+ 30^{0}$ = $180^{0}$

$x^{0}$ = $\frac{180^{0} - 30^{0} }{2}$

$x^{0}$ = $\frac{150^{0} }{2}$

$x^{0}$ = $75^{0}$