Question

Find the value of x in the given figure.​

Answer 1

Sum measure of interior angles of traingle is 180° according to this rule ; sum measure of interior angles = (n-2)180 where n is the no. of sides

(3-2)180

=180°

So

$72 + 65 + y= 180 \\ 137 + y= 180 \\ y= 180 - 137 \\ y = 43$

The sum of an interior and exterior angle equals to 180°

According to this

$y + x = 180 \\ 43 + x = 180 \\ x = 180 - 43 \\ x = 137$

Hope it helps

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