What is m<3? Thank you

Explanation:

Let

The goal is to find y

For now, focus on the interior angles of triangle DEF. We have these three angles:

Those interior three angles add to 180. This is true for any triangle.

D+E+F = 180

90+53+x = 180

143+x = 180

x = 180-143

x = 37

angle 2 = 37 degrees

Now we can find y.

Focus on angles 2 and 3, which are x and y respectively. These two angles add to 180 because they form a straight line. Note: the triangle's angles summing to 180 is closely related to this idea where angle 2 and angle 3 are a linear pair.

So this means,

(angle2)+(angle3) = 180

x+y = 180

37+y = 180

y = 180-37

y = 143

angle 3 = 143 degrees

It's not a coincidence that we ended up with a previously calculated value of 143. It turns out that adding the remote interior angles D and E leads to the exterior angle EFG.

D+E = 90+53 = 143 = angle EFG

I'm using the remote interior angle theorem. Some textbooks may call this the exterior angle theorem. In my opinion, the phrasing "remote interior angle theorem" is more descriptive.

eve and marks ratios are equivalent

step-by-step explanation: