Question

In the figure, angel AOC and angel BOC represent linear pairs, find the values ​​of x and y, if x - y = 44 °.

please give me correct answer ​

Answer 1

Solution:

We know sum of linear pair is always 180

Hence,

$x + y = 180 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - - - - - - - - - - > (i)$

But it is given in question that:

$x - y = 44 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - - - - - - - - - - > (ii)$

Adding equation (i) and (ii), we get:

$x + y + x - y = 180 + 44$

$= > 2x = 224$

$= > x = \frac{224}{2}$

$= > x = 112$

Now substituting the value of x in equation (i), we get:

$112 + y = 180$

$= > y = 180 - 112$

$= > y = 68$

Hence the value of:

x = 112°

& y = 68°

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