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 (D) 72°, 108°
Let angles are 2x and 3x.
Then 2x+3x = \(108^\circ\) \((\because\) Sum of opposite angles in a cyclic quadrilateral is \(180^\circ)\)
\(\Rightarrow\) 5x = \(108^\circ\)
\(\Rightarrow\) x = \(\frac{180^\circ}5=36^\circ\)
\(\therefore\) \(2x=72^\circ\;and\;3x=108^\circ\)
Hence, required angles are \(72^\circ\;and\;108^\circ.\)
Correct option is (A) Cyclic
If the sum of the pairs of opposite angles of a quadrilateral is \(180^\circ,\) then the quadrilateral is cyclic quadrilateral.
