If the figure "ABCD" is a parallelogram. Which among the following is/are true?
x=45∘
y=30∘
We know that the opposite angles of a parallelogram are equal.
⇒(3x−10)∘ = (x+80)∘
⇒2x=90∘
⇒x=45∘
Also, adjacent angles of a parallelogram are supplementary.
⇒(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=180∘–150∘
⇒y=30∘