1.

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°

Answer»

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 \(80^\circ.\)

Correct option is  B) 80°



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