## anonymous one year ago Geometry Writing Assignment: Angles Each problem is worth 5 points Total Points: 50 Use the image below and answer questions 1-5. Show all your work. 28° 47° 65° E D C B A 1. ∠m+∠AEB+m<CED 2. 2m<AEC 3. M<AED-m<BEC 4. M ∠AEC+3m∠ BEC 5.1/2m<BED +4<AEB

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1. anonymous

2. anonymous

@Owlcoffee @mathway @JadedInsomniac @jamaicabeckford @jamesr @Jdosio @jane11509

3. anonymous

|dw:1438464005525:dw|

4. anonymous

What is the measure of ∠AEB?|dw:1438464194239:dw|

5. anonymous

Add it with m∠CED. He're the ∠CED|dw:1438464246683:dw|

6. anonymous

7. anonymous

its confusing

8. anonymous

The measure is just the numbers you see.

9. anonymous

okay thanks

10. anonymous

11. anonymous

Can you now add them together? I already encircled the angles for you.

12. anonymous

13. anonymous

That's for number 1. -_-

14. Owlcoffee

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: $(28) + (47)+3(47)$

15. anonymous

thanks !!