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

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90