Question

Find the angle measure x in the following figure:
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Answer 1

Answer:

x = 110°

Step-by-step explanation:

Here,

∠1 = 110 °, ∠2 = 50° , ∠3 = 90° , ∠4= 2x

and ∠5 = 180° - x (linear pair)

So, ∠1 + ∠2 + ∠3 + ∠4 + ∠5 = 540° (angle sum property of pentagon)

   110° + 50° +  90° + 2x + 180° - x = 540°

⇒      430°  +  x  = 540°

⇒                   x  = 540° - 430°

⇒                   x  =  110°

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