In parallelogram abcd, ad = 12 in, m∠c = 46º, m∠dba = 72º. find the area of abcd. find to the nearest ten-thousand decimal place, if a decimal is the answer.

we know that

1) the inscribed angle measures half of the arc it comprises.

so

m∠dgf= > expression

2) the opposite angles in an inscribed quadrilateral are supplementary angles

so

m∠dgf=

m∠dgf=°

substitute in the expression to find the value of arc ef

therefore

the answer is

the measure of the arc ef is