Angles

[rachelmaddie]

Are these supplementary angles whose sum add up to 180 degrees?
50 + (3x+4) = 180

 

[lev888]

What do you think?

 

[rachelmaddie]

What do you think?

Yes?

 

[rachelmaddie]

In the figure the two angles are supplementary whose angles add up to 180 degrees.
Set up an equation to solve for x.
50 + (3x+4) = 180
3x + 54 = 180
3x = 126
x = 42
Substitute the value of x to prove the equation is true.
50 + (3(42)+4) = 180

 

[lev888]

Yes?

Do they add up to 180 degrees?

 

[rachelmaddie]

Do they add up to 180 degrees?

Yes. Do you see my work?

 

[lev888]

In the figure the two angles are supplementary whose angles add up to 180 degrees.

Please show which angle is 180.

 

[rachelmaddie]

Please show which angle is 180.

What does that mean?

 

[JeffM]

They are NOT supplementary angles.

[MATH]90 + 50 + (3x + 4) = 180 \implies 3x = 180 - (90 + 50 + 4) = 36 \implies[/MATH]
[MATH]x = 12.[/MATH]

 

[rachelmaddie]

They are NOT supplementary angles.

[MATH]90 + 50 + (3x + 4) = 180 \implies 3x = 180 - (90 + 50 + 4) = 36 \implies[/MATH]
[MATH]x = 12.[/MATH]

They are complementary?

 

[lev888]

They are complementary?

In the previous problem I asked if you had any doubt about them being complementary. You answered no. So what changed since then?

 

[rachelmaddie]

In the previous problem I asked if you had any doubt about them being complementary. You answered no. So what changed since then?

I was not looking at the correct angle but the two angles are acute?

 

[lev888]

I was not looking at the correct angle but the two angles are acute?

The two perpendicular lines form 4 angles. One of them is 90 degrees, as marked. What about the other 3? What are their measures?

 

[Steven G]

Are these supplementary angles whose sum add up to 180 degrees?
50 + (3x+4) = 180View attachment 14769

Please, with pencil and paper draw the diagram and then erase the line that is drawn between 3x+4 and 50. Do you see that all the angles are 90 degrees? If yes then what should (3x+4) and 50 add up to.

 

[firemath]

The two perpendicular lines form 4 angles. One of them is 90 degrees, as marked. What about the other 3? What are their measures?

Vertical Angles Theorem?

 

[rachelmaddie]

Please, with pencil and paper draw the diagram and then erase the line that is drawn between 3x+4 and 50. Do you see that all the angles are 90 degrees? If yes then what should (3x+4) and 50 add up to.

180 degrees?

 

[Steven G]

180 degrees?

After removing that line, you should see that all the angles are 90 degrees. Putting in an addition line will not change that.

 

[rachelmaddie]

After removing that line, you should see that all the angles are 90 degrees. Putting in an addition line will not change that.

How do I set up an equation?

 

[firemath]

Like this: 50+3x+4=90
54+3x=90
36=3x
x=?

 

[rachelmaddie]

In the figure the two angles are complementary whose angles add up to 90 degrees.
Set up an equation to solve for x.
50 + (3x+4) = 90
3x + 54 = 90
3x = 36
x = 12
Substitute the value of x to prove the equation is true.
50 + (3(12)+4) = 90

Is this correct?