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Mathematics 12 Online
OpenStudy (anonymous):

Medal and Fan. Please Check answers. 1. Name a par of complementary angles. <1 and <4****** <1 and <2 <3 and <4 <1 and <6 2. If m<1 = 43 degrees, what is m<4? 53* 43*........... 37* 27* 3. If m<1 = 55*, what is m<5? 55* 40*............ 35* 25*

OpenStudy (anonymous):

For 1-3

OpenStudy (anonymous):

@Preetha

OpenStudy (anonymous):

@Whitemonsterbunny17

OpenStudy (anonymous):

@ParthKohli

OpenStudy (anonymous):

@poopsiedoodle

OpenStudy (anonymous):

Can anyone help me?

OpenStudy (poopsiedoodle):

Complementary angles are two angles that, when combined, make a 90 degree angle. Which pair in the answer choices of the first problem does that?

OpenStudy (anonymous):

Well I know 3 so is it C.?

OpenStudy (anonymous):

3 forms a 90* angle. But I'm mixed with 3 and 4 which looks like it does not form an angle if you combine them.

OpenStudy (poopsiedoodle):

It has to be two adjacent angles also.

OpenStudy (anonymous):

Oh so 1 and 2.

OpenStudy (poopsiedoodle):

So it's two angles right beside each other that combine to make one 90 degree angle.

OpenStudy (anonymous):

So 1 and 2 is right

OpenStudy (poopsiedoodle):

yee

OpenStudy (anonymous):

So what about the others?

OpenStudy (poopsiedoodle):

Ok so when you have a quadrant with angles all set up like this, opposite angles are congruent. That would mean that if you have this:|dw:1456983289905:dw|, angles 1 and 2 are of equal size, and 3 and 4 are also equal size.

OpenStudy (anonymous):

Ok.

OpenStudy (anonymous):

Are we still on #1 or 2? Sorry

OpenStudy (poopsiedoodle):

moving on to #2. This also applies to #3.

OpenStudy (anonymous):

Yes. Ok

OpenStudy (poopsiedoodle):

So, in your problem, which angle is on the opposite side of angle 1?

OpenStudy (anonymous):

4? or 2? Not good at this. Sowwy

OpenStudy (poopsiedoodle):

Ok so I finally remember what I'm talking about here. The line dividing the angles is called the transversal. Corresponding angles are positioned opposite of each other. So, |dw:1456983665223:dw| 1 and 2 are corresponding, and 3 are 4 are corresponding. In your case, 1 and 4 are corresponding, so the measure of angle 1 is equal to the measure of angle 4.

OpenStudy (anonymous):

Ok... I'm following

OpenStudy (poopsiedoodle):

That should give you all the information you need for #2. If you know the value of the measure of angle 1, you know the same for angle 4.

OpenStudy (anonymous):

So the answer is 43 degrees?

OpenStudy (poopsiedoodle):

yes.

OpenStudy (anonymous):

Ok and for number 3. The same thing?

OpenStudy (poopsiedoodle):

Kinda. In #1, we established that 1 and 2 make a 90 degree angle, which means that their corresponding angles (4 and 5, respectively) also add up to 90 degrees. So, if m<1 = 55, what is m<2?

OpenStudy (anonymous):

55 too because they complete the angle or something. Now I'm lost. :(

OpenStudy (poopsiedoodle):

Naw. it would be 35, because m<1 + m<2 = 90.

OpenStudy (anonymous):

Oh so what equals 90? Oh ok

OpenStudy (poopsiedoodle):

two complimentary angles added together always equal 90. If they give you a problem like that with this little square |dw:1456984250226:dw| (the one circled), that means that the two lines are perpendicular, and all of the undivided angles are 90 degrees.

OpenStudy (poopsiedoodle):

So anywho, now that you know that m<2 is 35, which angle corresponds to angle 2?

OpenStudy (anonymous):

4?

OpenStudy (poopsiedoodle):

By the way, if you're having trouble finding corresponding angles, they are usually drawn of equal size, and they are made up of the same two lines, like this: |dw:1456984485900:dw|

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