Question

Find the measure of each angle of a parallelogram, if larger angle is $30^o$ less than twice the smaller angle.

Answer 1

let the larger angle be x and the smaller angles be y  given that x = 2y - 30  ....( i )
and we know 2(x + y ) = 360 ⇒ x + y = 180 .....( ii )
solving ( i )( ii ) we get x = 70 & y = 110 
so the angles are 70, 110,70, 110