In the given figure, ABCD is a parallelogram. From the given options, select the values of x and y.
We know that the opposite angles of a parallelogram are equal.
So,
(3x−10)∘=(x+80)∘⇒3x−x=80∘+10∘⇒2x=90∘⇒x=45∘
Also, the consecutive angles of a parallelogram are supplementary.
So,
∠B+∠C=180∘(3x−10)∘+(y+25)∘=180∘(3×45∘)−10∘+y+25∘=180∘135∘−10∘+y+25∘=180∘⇒125∘+y+25∘=180∘⇒y=180∘–125∘−25∘⇒y=30∘