The exterior angles of a quadrilateral have measures of $72\degree,\ 58\degree,\ 2x\degree,$ and $3x\degree$ . Find the value of $x$ .

46degrees

Step-by-step explanation:

The sum of angles of exterior angles of a quadrilateral is 360 degrees

Hence;

72 + 58+2x+3x  = 360

130 + 5x  = 360

5x = 360-130

5x = 230

x  =230/5

x = 46 degrees

Hence the vale of x is 46degrees

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a