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Mathematics 19 Online
OpenStudy (anonymous):

m angle 1 =

OpenStudy (anonymous):

OpenStudy (anonymous):

What's your question? I don't understand.

OpenStudy (anonymous):

i need to know what angle 1 equals im working on special angle types

OpenStudy (anonymous):

like what is the measure for angle 1

OpenStudy (anonymous):

Let's call angle 1 \[\theta\] That just makes it easier for me, because I'm more used to working with theta. Remember that the sum of all the angles of a triangle is 180 degrees. You have two right triangles there, and owing to Euclid's postulate (no. 4 I think), you also have one angle of the triangle with angle \[\theta\] Adding 90 (the right angle) + 20 = 110 degrees. 180-110 = 70 degrees, which is angle 1.

OpenStudy (anonymous):

so the answer would be 70

OpenStudy (anonymous):

Yes.

OpenStudy (anonymous):

Check: 70+ 20 + 90 = 180, which satisfies the requirements of a right triangle.

OpenStudy (anonymous):

oh ok so i have another question but a different diagram m angle 1 =

OpenStudy (anonymous):

The diagram confuses me due to its wonky look, but if my reasoning is correct... If we mentally shift either of those lines till they intersect the radius, we will get pi radians, or 180 degrees, on one half. Since we have two halves, we have 360 degrees altogether. Now I assume that 1 = x = 360-150-130=80, but this is an unusual problem. I want a second opinion.

OpenStudy (anonymous):

Terri, can you give me a more exact picture of the diagram in question? It's kind of ambiguous, just having those two angles there with no designation. That would help clarify things for me.

OpenStudy (anonymous):

ill try

OpenStudy (anonymous):

assuming that dot is the center of the circle (in the first diagram), the angle 1 is 40 degrees

OpenStudy (anonymous):

m angle 1 =

OpenStudy (anonymous):

i wish i could make them a bit bigger but idk how to

OpenStudy (anonymous):

i don't know what any of the diagrams are actually saying, apart from diagram 1. remember that an angle goes between two straight lines/rays

OpenStudy (anonymous):

That's a little easier to understand (though I don't see the logical explanation for such a fantastic number). Let's mentally rotate the terminal end of angle 1 (the side that is pointing at an angle, not horizontally) until it hits the side that is lying horizontally, the initial side. That area is 274 degrees, right? Then utilizing the knowledge that a circle has 360 degrees in it, 360-274 = 86 degrees. And for future reference, it's kind of mathematically awkward to write 1 = 86 degrees, as that can be misinterpreted too easily. It would be great if you wrote x in place of 1. Hope this helps!

OpenStudy (anonymous):

can you click on the pic to make it bigger

OpenStudy (anonymous):

Yes that can be done.

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