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Mathematics 20 Online
OpenStudy (melody323):

Find the measure of the larger angle. 32° 97° 180° 83°

OpenStudy (melody323):

@simplymarie_x

OpenStudy (nekokittu):

hai

OpenStudy (melody323):

hi

OpenStudy (melody323):

Do you know the answer?

OpenStudy (melody323):

Select all of the names of this polygon. quadrilateral trapezoid isosceles trapezoid parallelogram rectangle rhombus square

OpenStudy (nekokittu):

no sorry

OpenStudy (melody323):

Select all of the ways you can describe the given polygon. regular irregular scalene isosceles equilateral acute right obtuse equiangular

OpenStudy (melody323):

@purple_pink

OpenStudy (anthonyym):

which do you need help on? Can you post one question per page?

OpenStudy (melody323):

The first one

OpenStudy (anthonyym):

Since the angles form a straight line, they're supplementary (add up to 180 degrees).

OpenStudy (anthonyym):

So can you figure out the equation to set up?

OpenStudy (melody323):

No i don't get it

OpenStudy (anthonyym):

A line is 180 degrees, and the two angles form a line, so they add up to 180 degrees.

OpenStudy (melody323):

oh ok

OpenStudy (melody323):

What about the second and third ones?

OpenStudy (anthonyym):

You got the answer for the first question?

OpenStudy (melody323):

I think its 97

OpenStudy (anthonyym):

Can you show how you got that?

OpenStudy (melody323):

I just guessed

OpenStudy (anthonyym):

Well you know the two angles add up to 180. The angles are 2x+19 and 3x+1. You can set up an equation now.

OpenStudy (melody323):

I don't know how to solve them

OpenStudy (anthonyym):

Do you have the equation?

OpenStudy (anthonyym):

I mean did you set up the equation

OpenStudy (melody323):

2x+19 = 3x+1

OpenStudy (melody323):

2x+19 + 3x+1= 180

OpenStudy (anthonyym):

Yes the second one is correct. 2x+19 + 3x+1= 180

OpenStudy (melody323):

ok

OpenStudy (anthonyym):

Now solve for x and plug x back into each angle (2x+19) and (3x+1) to see which angle is larger. The larger one will be the answer (that's what the question asks for).

OpenStudy (melody323):

ok

OpenStudy (anthonyym):

What do you get for x and what does each angle equal?

OpenStudy (melody323):

32

OpenStudy (anthonyym):

Good so far, x=32

OpenStudy (melody323):

ok

OpenStudy (anthonyym):

Now plug 32 back into each angle to get a number value for the angles.

OpenStudy (melody323):

83

OpenStudy (anthonyym):

Yes, good job. 83 is the measure of the angle 2x+19. Now do the other angle.

OpenStudy (melody323):

What about the other two?

OpenStudy (anthonyym):

Because the question asks for the larger angle, so there's a possibility that the angle 3x+1 is larger than the angle 2x+19. So to be sure we have to get the measure of angle 3x+1 too.

OpenStudy (melody323):

I don't know what the measure of the other angle is, I just assumed 83 was the answer.

OpenStudy (melody323):

14

OpenStudy (melody323):

@anthonyym

OpenStudy (anthonyym):

Well do the same thing you did to get 83; plug 32 into 3x+1 to get the measure of angle 3x+1

OpenStudy (anthonyym):

I meant plug 32 as x into 3x+1

OpenStudy (melody323):

97

OpenStudy (melody323):

Is that right?

OpenStudy (anthonyym):

Yes, 97 is the measure of angle 3x+1. Now compare 97 degrees to the measure of the other angle 2x+19. The question asks for the larger angle, so the larger of the two is the answer.

OpenStudy (melody323):

so 97

OpenStudy (anthonyym):

Correct, the answer is 97

OpenStudy (melody323):

Next questions please!

OpenStudy (melody323):

Help please

OpenStudy (anthonyym):

Can you post each question separately on a new page (so it goes to the top and other people can answer it). Because I have to go and I have some stuff to do (sorry)

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