Question

the two adjacent angles of a quadrilateral are 68 and 112 the other two adjacent angles are equal what is the measure of each of these equal angles

Answer 1

let abcd be the angles of quadrilateral
$let c = d = 2 x \\ a = 68 \\ b = 112 \\ a + b +2 x = 360 degree (sum \: of \: all \: angles \: of \: a \: quadrilateral \: is \: 360) \\ 68 + 112 + 2x = 360 \\ 180 + 2x = 360 \\ 2x = 360 - 180 \\ 2x = 180 \\ x = 180 \div 2 \\ x = 90 \\ therefore \: other \: two \: angles \: are \: 90degree \: and \: 90degree \: respectively$