Question

Two angles of a quadrilateral are in ratio 7:8:9:12 find measure of angle​

Answer 1

$sum \: of \: all \: angles \: of \: the \: quadrilateral \:are \: 360 \: degrees \\ 7x + 8x + 9x + 12x = 360 \\ 36x = 360 \\ x = \frac{360}{36} \\ x = 10 \\ substitute \: x \: as \: 10 \\ 7x = 7 \times 10 = 70 \\ 8x = 8 \times 10 = 80 \\ 9x = 9 \times 10 = 90 \\ 12x = 12 \times 10 = 120 \\ \\ so \: the \: angles \: are \: 70 \: \: 80 \: \: 90 \: \: and \: \: 120$

Hope this helps you!!