MathematicsFind x + y + z + w in the given figure.

Find $x + y + z + w$ in the given figure.

A
B
C
D

Solution:

Concept- Here we will proceed by using the sum of interior angle properties of the quadrilateral because the given shape is quadrilateral. Also, we will use exterior angle property.
Since the sum of the measures of interior angles of a quadrilateral is

Also,

Now,

x = ext ∠ BCD

Hence,the answer is option 4.

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