yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Decomposing angles | Math | 4th grade | Khan Academy


2m read
·Nov 11, 2024

What is the measure of angle EAC?

So, we have this symbol here which means angle and then these three letters: E, A, C.

Now, to measure angle EAC, we need to first find angle EAC down here on our picture. The way we can do that is use these three letters, and we're going to go in the order that they're given to us.

So, the first letter we're told is E; the first letter we'll find down here is E. From there, we'll go to the second letter, A, and then finally, from A, we go to our last letter, C. Again, in the order that they were told to us.

So, this opening right here is our angle. We want to know how many degrees this opening is. The most common way to measure an angle would be to use a protractor, but we're not given a protractor, so we can't do that.

But we do have enough information on this diagram down here to solve this. What we can see is that our large angle EAC is made up of two smaller angles. This first one, angle EAD right here, angle EAD plus, from there, it picks up with angle DAC, angle DAC.

These two angles, this first one from here to here and then the second from here to here, when they're combined, they make the same size opening as our angle. So, if we can combine these two angles, we will know the measure of our angle because, again, these two combined are equal to our entire angle.

So, let's do that, starting with EAD. We can see we're told it's 60 degrees; that's a 60-degree opening. Plus, angle DAC has a 75-degree opening.

So, if we combine that, if we go 60 degrees to here plus another 75 down to here, we've covered our entire angle. Our entire opening is 60 plus another 75.

So, we can add these to solve for the measure of our angle. Six tens plus seven tens is thirteen tens or 130. Thirteen and then that zero is there because we're talking about tens. Plus zero ones and five ones is five ones.

So, 130 plus 5 is 135 degrees. Thus, the measure of our entire angle, angle EAC, is 135 degrees.

More Articles

View All
Porcelain in the Wreckage | Drain the Oceans
I grew up here in Portland. As a child, we all loved Indiana Jones. But it was actually really in high school when I was able to take an anthropology class, and it really piqued my interest. And then in community college, I started taking archeology class…
People Don't See It - Anthony Hopkins On The Illusion Of Life
I had one moment when I decided to change my life. When I was a little boy, I dreamed of where I am now, and I remember saying to my father, “One day I’ll show you.” Certain moments in our life, we get little signals, little flashes. I may have had a visi…
Inside the Dark World of Captive Wildlife Tourism | National Geographic
(sighs) Jesus. We came behind the stadium where the elephants perform, and we found this juvenile elephant. He had gaping red wounds at his temple. He also has a broken leg. The other one is chained up. He looks totally emaciated. Skin and bones. And this…
The Technological Singularity
Up until I was like 15, the way I found new music was through friends or songs that you hear in the background on my favorite TV shows or movies. This could be a really slow process, if you, like me, have a somewhat unconventional taste in music. So it wa…
Hanging out with a monitor lizard | Primal Survivor: Extreme African Safari
There’s a monitor lizard right there, right on that termite mound, just basking in the sun. They can either play dead or they can run like grease lightning. Let me see if I can get a better look at it. I can see that this monitor could use a little hel…
Fiscal and monetary policy in parallel | AP Macroeconomics | Khan Academy
In previous videos, we have talked at length about fiscal policy, and in other videos, we’ve talked at length about monetary policy. But now we’re going to talk about them together. Because at any given time in a country, there is some type of fiscal poli…