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Question

# The measure of unknown angle x°, in the paralleogram ABCD, is .

A
150°
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B
120°
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C
90°
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D
135°
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Solution

## The correct option is A 150°Any quadrilateral can be divided into 2 triangles. So, the sum of internal angles of any quadrilateral is always 360°. We know, a paralleogram is also a type of quadrilateral. So, in paralleogram ABCD, we see: ∠ABC+∠BCA+∠CDA+∠DAB=360° On subtituting the respective values, we get: x°+30°+x°+30°=360° ⇒60°+2x°=360 ⇒2x°=360°−60° ⇒x°=300°2=150°. So, the value of x is 150°.

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