Question

find the unknown angles

Answer 1

$x = 180 - 104(linear pair) \\ = > 76$
$y = x + 65 - 180 \\ = > y = (76 + 65) - 180 \\ = > y = 141 - 180 \\ y = 39$

Answer 2

Hey There! Here Is your solution.

x° = 180° - 104°                         [ ∵ This is a linear pair.

x° = 76°

AND,

         ⇒ x°+y°+65° = 180°                              [ ∵ Angle sum of a Δ is always 180°]

         ⇒ 76°+y°+65° = 180°

         ⇒ y° + 141° = 180°

         ⇒ y° = 180° - 141°

         ⇒ y° =  39°

Hence,

           Value of X is 76° & Value of Y is 39°.

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