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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.


Step 1: m∠m + m∠n + m∠p = 180 degrees (sum of angles of a triangle)
Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary 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?

Step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step 2; m∠p − m∠o = 90 degrees (alternate interior angles)

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 class=

Answer :

JannetPalos

Answer:

Step 1: It should be m∠m + m∠n + m∠o = 180° (sum of angles in a triangle)

Step-by-step explanation:

He made the mistake in Step 1: m∠m + m∠n + m∠p = 180°

It should be m∠m + m∠n + m∠o = 180°

Then only, he can equate it with m∠o + m∠p in step 3.

So,  m∠p is the exterior angle and m∠m and m∠n are the two remote interior angles.

m∠o is the adjacent angle to m∠p. They form a linear pair.

Hence, the correct answer is Step 1.

dstevers21

Answer:

d

Step-by-step explanation:

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