Question

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

• A. 150°
• B. 135°
• C. 120°
• D. 90°

Answer 1

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:


$\angle ABC+\angle BCA+\angle CDA+\angle DAB=360°$

On subtituting the respective values, we get:

$x°+30°+x°+30°=360°$

$\Rightarrow 60°+2x°=360$

$\Rightarrow 2x°=360°-60°$

$\Rightarrow x°=\frac{300°}{2}=150°.$

So, the value of x is 150°.