Question

Two opposite angles of a parallelogram are (3x - 2)° and (63 - 2x)". Find all
the angles of the quadrilateral. ​

Answer 1

Answer:

OPP ANGLES OF A PARALLELOGRAM ARE EQUAL

⇒3X-2= 63-2X

⇒5X= 65

⇒X=13

∠1= 3X-2= 3*13-2= 37°= ∠3

NOW, ∠1+∠2+∠3+∠4= 360° (ANGLE SUM PROPERTY)

          37+∠2+37+∠4= 360

          2∠2= 360-74=286  (OPP ANGLES ARE EQUAL)

          ∠2=143=∠4

         

Step-by-step explanation: