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In the given figure find the value of the unknown interior angle x in the following figure.​

In the given figure find the value of the unknown interior angle x in the following-example-1
User Falukky
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1 Answer

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23 votes

Answer:

Therefore, the measure of angles x is 55°.

Explanation:

From the given figure ,

105° is the exterior angle

x° and 50° are the two interior opposite angles to 105°

We know that

An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles

⇛ x° + 50° = 105°

⇛ x° = 105°-50°

⇛ x° = 55°

Therefore , x = 55°

Exterior Angle:

An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles.

Hope this helps!!

User Iedmrc
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