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# Among two supplementary angles the measure of larger angle is 44 degree more than the measure of the smaller find the measure

**Given: **Among two supplementary angles the measure of larger angle is 44 degree more than the measure of the smaller

**To do: **Find the measure of the angles

**Solution:**

Lets take the larger angle as '$x$' and smaller angle as '$y$'.

Two angles are supplementary means they add up to 180°

So, $x + y = 180$°.........................(i)

Larger angle is 44 degree more than the smaller angle.

$x = 44 + y$ ..............................(ii)

After substituting (ii) in (i) we get,

$44 + y + y = 180°$

$44 + 2 y = 180°$

$2 y = 180 - 44$

$2 y = 136$

$y = \frac{136}{2} = 68$

$y = 68°$

Substitute $y = 68° $ in (i)

$x + 68 = 180$

$x = 180 - 68$

$x = 112°$

**So, The larger angle is 112° , and the smaller angle is 68°**

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