1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mario62 [17]
3 years ago
11

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

Mathematics
1 answer:
andrew-mc [135]3 years ago
6 0

Answer:

Step-by-step explanation:

First, alternate interior and alternate exterior angles and  corresponding require a transversal through two parallel lines.  or in other words two parallel lines with a non parallel line going through the both of them.  We don't have that here so none of those count here.  

Step 2 is the only one that mentions them so that's wrong.  The two options regarding step 2, one mentions alternate exterior angles, so that's incorrect, which means the last option is the right answer.

To logic it out let's go choice by choice.

Measure of three angles of a triangle is 180, so that's correct

Alternate interior angles are the same, so saying the difference of two angles equals 90 degrees doesn't make sense with alternate interior angles.  Also, the relationship is untrue.  So doubly wrong.

the sum of the three angles of a triangle equals 180 and the sum of two angles that when put together make a straight lineis also 180, so this is right, just with the wrong step beforehand.

Fourth step is just right.

So definitely see step 2 is the problem.  So let's look at the two replacement options.

First choice for step two says angle o + angle p does equal 180 degrees, which is true, but they are not alternate exterior angles.  So only half as wrong.  If you don't understand how they look you should do a quick search for alternate angles and see what alternate exterior and interior angles look like.  And corresponding angles.

Second choice for step 2 gets the 180 degrees right AND givs the reason that they are supplementary angles.  The definition of supplementary angles is that they add up to 180, or make a straight line, so also true.

Also we should check and make sure step 3 follows and makes sense.  Basically it says these three angles equal 180 and these two angles equal 180 so these two angles must equal these three angles, which makes sense since they equal the same number.  So check.

Let me know if Something I said didn't make sense.  Also here is a small guide of angles for the picture I uploaded with this.

Angles A and G are Alternate Exterior

D and F are Alternate Exterior

B and H are Alternate INTERIOR

E and C are Alternate Interior

A and E are Corresponding

B and F are corresponding

C and G are corresponding

D and H are corresponding

In all of these relationships it means the two angles are equal, and they require a transversal.  Let me know if you need further explanation let me know.

You might be interested in
Solve two sevenths times four sixths . (2 points) Group of answer choices six forty seconds eight forty seconds six thirteenths
Maksim231197 [3]

Given:

The statement is "two sevenths times four sixths".

To find:

The value of the product.

Solution:

Two sevenths times four sixths can be written as:

\dfrac{2}{7}\times \dfrac{4}{6}

It can be rewritten as:

\dfrac{2}{7}\times \dfrac{4}{6}=\dfrac{2\times 4}{7\times 6}

\dfrac{2}{7}\times \dfrac{4}{6}=\dfrac{8}{42}

The answer of given expression is eight forty seconds.

Therefore, the correct option is B.

8 0
3 years ago
If 1 = 33 seconds how much would 1 be?
weeeeeb [17]

Answer:

Given in the question itself ......1 would be 33 seconds .......................

6 0
3 years ago
Read 2 more answers
What will be the account balance after 20 years?
kompoz [17]

Answer:

We need the problem!

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (2,1) and (5,6)
dlinn [17]

Answer:

5/3

Step-by-step explanation:

4 0
3 years ago
E If M P = Rs 420,SP. 405 then<br>find discount​
Leni [432]

Answer:

discount=MP-SP

=Rs420-Rs405

=Rs15

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • 2 Points
    11·1 answer
  • A warehouse has three shelves that can hold 8, 12, or 16 skateboards. Each shelf has sections holding the same number of skatebo
    13·1 answer
  • -3/-4(8x-12)=5x-2 how do I solve this
    11·2 answers
  • Help asp please!!!!!!!!
    15·2 answers
  • Please help me a. Find the amplitude. b. Find the period. c. Find the vertical shift. d. Find the horizontal shift. e. Find the
    15·1 answer
  • In this picture B and Fare<br> midpoints.<br> A<br> B<br> 5x - 4<br> 23<br> F<br> E<br> x=[ ? ]
    10·1 answer
  • Find the scale factor applied to figure A to produce figure B
    6·2 answers
  • Please help and show work if possible.
    9·1 answer
  • I don’t have a question but both of the answers are wrong i just did it right now and i got it wrong but it said the answer is 6
    5·1 answer
  • Which of the following could be the ratio between the lengths
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!