If one of the angles of the quadrilateral is 120° and the remaining three angles are equal then the measure of each angle is
If one of the angles of the quadrilateral is 120° and the remaining three angles are equal then the measure of each angle is
A) 120°
B) 80°
C) 60°
D) 40°
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Correct option is (B) 80°
Let \(120^\circ,x^\circ,x^\circ,x^\circ\) are angles of quadrilateral.
\(\therefore\) \(120^\circ+x^\circ+x^\circ+x^\circ=360^\circ\)
\(\Rightarrow\) \(3x^\circ=360^\circ-120^\circ=240^\circ\)
\(\Rightarrow\) \(x^\circ=\frac{240^\circ}3=80^\circ\)
The measure of each equal angle is \(80^\circ.\)
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