intersecting line between triangle base and leg

Question

If a line originates from center base of a triangle at 45 degrees and terminates into one of the legs of the triangle, will the intersection be at a 45 degree angle independent of the angle of the triangle leg? Or is the angle of the triangle leg necessary to determine the angle of intersection? If the latter is true, then what is the formula for determining the intersection angle, given the angle of the intersecting line and the angle of the line intersected. If my pasted picture posts and if the corner angle marked in black is 45 degrees, then will the corner angle marked in red be 45 degrees? If not, what is the formula for determining the angle marked in red? Thank you

Pictures will not post, no matter how small I resize. Hopefully, my description makes sense

See if this works: https://www.desmos.com/calculator/44fgwxjvsq

Wyzant marketing leaves something to be desired. I am not seeking a tutor, I am seeking an answer to a question, that I think I know, but I am not confident and the matter is of some importance. I came here to weigh the value of a "guaranteed" answer with my present liquidity and was duped by the "answer question for free" bit. So, what are the numbers? How much for a verifiable answer? How much for an answer and explanation or is the explanation included in the charge? I am sure Wyzant takes a cut, who pays it? I prefer the account protections with Paypal, they also charge a fee, who pays it? Finally, all fees all charges what is the total and complete price for a correct answer to my question? As a side note, I posted this question a little over an hour ago, the more time passes the less I am willing to pay for an answer.

3 hours in and I found the answer, for those curious, my "feeling" (thanks to some former math instructor) was correct, my terminology was flawed. When I drew intersecting lines through my triangle, I should have treated it as two smaller congruent triangles, all the lines on a single plane must equal 180 degrees, if four smaller triangles intersect on the same point, then the angle for each is 45 degrees. Four points intersect in the center of the base and four points intersect in the middle of each leg, both the origination angle and destination angle for the lines in question, are 45 degrees.

Answer 1

Hello Keith,

I tried but could not see your image at https://www.desmos.com/calculator/44fgwxjvsq

However, the answer appears to be simple, unless I am missing something. Please advise.

Assuming the triangle is ABC, and the center of AC base is O, then OD intersects BC at D.

We have the angle DOC = 45 degree, and we need the angle ODC = ?

The simple answer is angle ODC = 135 degree - angle C.

Thank you,

Dan