Find the value of the unknowns $ x $ and $ y "

To find: The values of x and y in the given triangle

Solution:

Vertically Opposite Angles are the angles opposite each other when two lines cross.  

$ \angle y$ and $80 ^{\circ} $ are vertically opposite angles.

So they are equal

$ \angle y =80^{\circ}$

Sum of angles in a triangle is $180^{\circ} $

So $50^{\circ} + x + y = 180^{\circ}$

$50^{\circ} + x + 80 = 180^{\circ}$

$ x  = 180^{\circ} - 50^{\circ} - 80^{\circ}$

$ x  = 50^{\circ}$

So unknowns $ x  = 50^{\circ}$, $ y =80^{\circ}$

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Updated on: 10-Oct-2022

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