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Tems11 [23]
2 years ago
9

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b

elow is equal to the measure of the exterior angle.
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?

1.) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)

2.) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)

3.) Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)

4.) Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)

Mathematics
1 answer:
rosijanka [135]2 years ago
5 0

Answer:

4.) Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)

Step-by-step explanation:

o and p are supplementary angles, and therefore add up to 180 degrees.

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