A community for students.
Here's the question you clicked on:
 0 viewing
nuccioreggie
 one year ago
help
nuccioreggie
 one year ago
help

This Question is Closed

nuccioreggie
 one year ago
Best ResponseYou've already chosen the best response.0A 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 w. The angle adjacent to w is marked as z, and the other two angles inside the triangle are marked as x and y. Step 1: m∠x + m∠y + m∠z = 90 degrees (sum of adjacent angles) Step 2: m∠w + m∠z = 180 degrees (supplementary angles) Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z Step 4: So, m∠x + m∠y = m∠w In which step did the student first make a mistake and how can it be corrected? Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle) Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (corresponding angles) Step 2; it should be m∠w + m∠z = 90 degrees (supplementary angles) Step 2; it should be m∠w + m∠z = 90 degrees (adjacent angles)

nuccioreggie
 one year ago
Best ResponseYou've already chosen the best response.0@AlexandervonHumboldt2

nuccioreggie
 one year ago
Best ResponseYou've already chosen the best response.0@AlexandervonHumboldt2

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2which do you think the answer is?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2close, you are right in that the error was made in step 1, but the reasoning isn't quite there..

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2do you understand what corresponding angles are?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2No, c indicates that step 2 is the one with the error..

nuccioreggie
 one year ago
Best ResponseYou've already chosen the best response.0yes i do what do you think the answe might be and ok

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2I believe it is A because see how they said in step 1 " m∠x + m∠y + m∠z = 90 degrees (sum of adjacent angles)" but when you look at the diagram, the angles indicated are actually the internal angles of the triangle..

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2And in geometry, the sum of the internal angles of a triangle is always 180º, so m∠x + m∠y + m∠z must = to 180, not 90, because its the sum of the interior angles of the triangle

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2does that make sense?

nuccioreggie
 one year ago
Best ResponseYou've already chosen the best response.0oh ok ok can you help me with a few more maybe and yes it does (:
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.