Mathematics
Mathematics, 13.09.2021 19:50, julio38

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 p 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∠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)

answer
Answers: 3

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 22:00, shantejahtierr63961
You're locked out of your house. the only open window is on the second floor, 25 feet above the ground. there are bushes along the edge of the house, so you will need to place the ladder 10 feet from the house. what length ladder do you need to reach the window?
Answers: 3
image
Mathematics, 22.06.2019 00:10, zarbyp30
Given: p: 2x = 16 q: 3x – 4= 20 which is the converse of p - q? if 2x + 16, then 3x - 4 20. if 3x –4 +20, then 2x # 16. lf 2x = 16, then 3x - 4 = 20. lf 3x – 4= 20, then 2x = 16. o o
Answers: 1
image
Mathematics, 22.06.2019 01:30, chris199825
Agrasshopper weighs 0.89 grams. express the grasshopper’s weight in scientific notation.
Answers: 3
image
Mathematics, 22.06.2019 03:30, Yskdl
Convert the density of surface sea water to metric tons/cubic meter
Answers: 3
Do you know the correct answer?
A student writes an incorrect step while checking if the sum of the measures of the two remote inter...

Questions in other subjects:

Konu
Mathematics, 22.08.2019 14:10