At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
@Owlcoffee @mathway @JadedInsomniac @jamaicabeckford @jamesr @Jdosio @jane11509
What is the measure of ∠AEB?|dw:1438464194239:dw|
Add it with m∠CED. He're the ∠CED|dw:1438464246683:dw|
Can you answer it?
The measure is just the numbers you see.
Add them together. |dw:1438464471661:dw|
Can you now add them together? I already encircled the angles for you.
That's for number 1. -_-
So, I'll give you the example with the fouth part of this excercise. \[m \angle AEC + 3 m \angle BEC\] I'll try to mention it from the groundings, but I will suppose you have a certain level of geometry in you knowledge repertoire. The expression "\(m \angle \) " Does mean "Measure of angle" and is preceded by the angle in question. So, we will observe the diagram and pick out the angles we need, in this case \(\angle AEC \) and \(\angle BEC\), but thing is, that \(\angle AEC \) is composed by other two angles, which means that we can express it as a sum of angles, being these angles \(\angle AEB \) and \(\angle BEC\), and we notate it: \(\angle AEC = \angle AEB+ \angle BEC\) Now, let's go back to the excercise: \[m \angle AEC + 3 m \angle BEC\] And let's start replacing the information we have just deduced, which is: \(\angle AEC = \angle AEB+ \angle BEC\) and this must also mean that their measures also have that same composition: \(m\angle AEC = m\angle AEB+ m\angle BEC\) so let's replace it: \[(m \angle AEB + m \angle BEC) + 3 m \angle BEC\] Now, looking at the diagram we will pick out the measures of \(\angle AEB \) and \(m\angle BEC\) which are "\(m\angle BEC = 47\)" and \(m\angle AEB = 28 \) Therefore, the measures will be: \[m \angle AEB + m \angle BEC + 3m \angle BEC \rightarrow (28) + (47)+3(47)\] And nw, all you have to do is focus on this: \[(28) + (47)+3(47)\]