Question

Quadrilateral ABCD is a paralelogram The ratio of angie A to angle Bat this parallelogram is 54 Find the measure of ancie (show steps)​

Answer 1

Step-by-step explanation:

HEY MATE ........

$quadrilateral \: \: abcd \: \\ \\ is \: a \: parollelogram \\ \\ let \: the \: measure \: of \: \\ \\ < a \: and \: < b \: \\ \\ be \: 5x \: and \: 4x \: respectively \: \\ \\ now \: \\ \\ < a + < b = 180 \\ \\ (adjacent \: angles \: \\ \\ of \: a \: parallelogram \: \\ \\ are \: supplementary) \\ \\ 5x + 4x = 180 \\ \\ 9x = 180 \\ \\ x = 20 \\ \\ \\ measure \: of \: < b \\ \\ = 4x = 4 \times 20 = 80 \\ \\ thus \\ \\ the \: measure \: of \: < b \: is \: 80$