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*
For 1-3
@Preetha
@Whitemonsterbunny17
@ParthKohli
@poopsiedoodle
Can anyone help me?
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?
Well I know 3 so is it C.?
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.
It has to be two adjacent angles also.
Oh so 1 and 2.
So it's two angles right beside each other that combine to make one 90 degree angle.
So 1 and 2 is right
yee
So what about the others?
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.
Ok.
Are we still on #1 or 2? Sorry
moving on to #2. This also applies to #3.
Yes. Ok
So, in your problem, which angle is on the opposite side of angle 1?
4? or 2? Not good at this. Sowwy
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.
Ok... I'm following
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.
So the answer is 43 degrees?
yes.
Ok and for number 3. The same thing?
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?
55 too because they complete the angle or something. Now I'm lost. :(
Naw. it would be 35, because m<1 + m<2 = 90.
Oh so what equals 90? Oh ok
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.
So anywho, now that you know that m<2 is 35, which angle corresponds to angle 2?
4?
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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