Find the angle measure of x in the following figures:

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°

140

°

108

°

°

answer is A.

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Detailed Solution

The sum of all the interior angles of a quadrilateral is equal to 360∘.
Therefore, we get
50∘+130∘+120∘+x = 360∘
This is a linear equation in terms of x. We will solve this equation to find the value of x.
Adding the terms of the equation, we get
⇒300∘+x = 360∘
Subtracting 300∘ from both sides of the equation, we get
⇒300∘+x−300∘ = 360∘−300∘
Thus, we get
⇒x = 60∘
Therefore, we get the value of x as 60∘.

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