Question

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as p. The angle adjacent to w is marked as o, and the other two angles inside the triangle are marked as m and n.

Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p

In which step did the student first make a mistake and how can it be corrected?

Answer 1

I believe that the right on e is the first one

Answer 2

wdym e?

Answer 3

Well I have to explain how it can be corrected right

Answer 4

meh

Answer 5

So the first one is just wrong because eh I just can't explain it but it is the right anwser

Answer 6

okie

Answer 7

tysm ill send if it was wright

Answer 8

right

Answer 9

nope

Answer 10

was there a picture to go with this ?

Answer 11

rip got it wrong anyways dont know the answer though

Answer 12

The angle adjacent to w is marked as o,
- please re-read the text bc. angle w dont exist - i think this wan be p bc. angle p is adjacent to angle o

- and then you check these steps so the first one is true - yes ?
but the second one how you think this m<p - m<o = 90 maybe true ? look please on this image - and you know that a line has 180 degrees ,so from this result that m<p +m<o = 180
so m<p -m<o can be equal 90 ?

hope explained it understandably easy