BEG is a triangle. ABC and DEF are parallel lines. work out the size of angle x.

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the measure of angle BEG

we know that

---->  by supplementary angles (form a linear pair)

substitute the given values

step 2

Find the measure of angle HBC

we know that

---> by supplementary angles (form a linear pair)

we know that

---> by corresponding angles

substitute

step 3

Find the measure of angle EBG

we know that

substitute the given values

step 4

Find the measure of angle x

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle BEG

substitute the given values

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation: