"Equations" may be a terrifying noun but it should not be. See how simple they are in ry1.
As we do mathematics we mostly ignore physics and units. Look at the joke about our math. prof. and understand.
Do not "overmathematics", the danger is to create the whole Universe from a dimensionless point.
Just read the protractor. It is something between 70 and 80 .
The angles COB and BOA are congruent but not equal. Their measures are equal but not their direction .
adjacent means lying near, close, or contiguous; adjoining .
In question 24 of our previous test we called "interior opposite angles" and now we refine our terminology .
The figure is proving the claim made there.
That the figure is on the plane is very important. There is at least 1.
Complementary angles are 2 angles whose whose measures add up to 90 degrees .
Supplementary angles are 2 angles whose whose measures add up to 180 degrees .
Alltogether they make 90 degrees .
All given says 6W = 180.
1 minute corresponds to 6 degrees.
Rays are directed .
< 3 and < 4 have a common vertex .
We will give a proof soon, but know from today that the sum of inner angles of a triangle make 180 degrees . And of course angle 4 is 90
degrees which leaves 90 for the other two.
Do consider the direct angle also .
3 rays 2 angles ; 4 rays 3 angles ... .
Be careful about the unit and do use the given numbers, not your eye .
In the evening, when the prof and his wife are on the phone again, she asks:
"I don't understand it. When you count, you get 39, and when they do, they get 40.
That's more than strange..."
"Well", the prof says. "This is a cordless phone, so
you can stay on the line and count with me: zero, one, two, three,..."
This joke is to remind you of two facts:
1. "Zero" is nor a conting number !
2. Points, lines, planes etc. are just thought objects !
Remember endpoints may be translated. Even if not so, lines do intersect somewhere and form angles .
Till the hour-hand makes two turns the vane makes makes 24 full turns.
If the hour-hand stood still, there would be 24 direct angles.
A is the angle, C is the complement . We have A+C = 90 and 3xC + 10 = A
If we replace A we find 4xC + 10 = 90 and C = 20
Think by separating . A part is given in ry1 and another in ry2 .
Thus m(< EOB) = m + n/2 - m/2 = m/2 + n/2 .
This of course means : measure of < DOE = m/2
The angle at the top (108 degrees) is divided into 3 angles (36 degrees) and each of them are congruent .
There are two other groups one group being 72 and the other being again 108 degrees.
The sum of two adjacent 36 deg. angles is a 72 deg. angle.
180 - W = 3x(90 - W) .
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