Question

In given figure, find x and y if x-y=70°
z​

Answer 1

Answer:

x=125; y=55

Step-by-step explanation:

x-y=70               {1}

x+y=180             {2}(supplementary angles)

add {1} & {2}

 x-y =70

+x+y= 180

=2x  =250

x=250/2

x=125

substitute the value of x in {2}

x+y=180

125+y=180

y=180-125

y=55

Answer 2

The value of x is 125° and y is 55°.

Given: x - y = 70°

To Find: The values of the angles x and y.

Solution: Since x and y are supplementary angles,

x + y = 180° (Equation 1)

x - y = 70° (Given) (Equation 2)

Subtracting LHS and RHS of equation 1 and equation 2:

(x + y) - (x - y) = 180° - 70°

x + y - x + y = 110°

2y = 110°

$y = \frac{110}{2}$

y = 55°

Now, placing the value of y in equation 1:

x + y = 180°

x + 55 = 180°

x = 180 - 55

x = 125°

Therefore, x = 125° and y = 55°.

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