Is it possible to make a triangle that has the angles measuring 60° 30° and 45°
1 answer:
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Check out the attached image. I drew what I think your book is showing. The figure on the left is triangle ABC without any extended segments. The figure on the right has segment AB extended shown in red. This forms the exterior angle x
The rule that connects x, y and z together is the remote interior angle theorem. It says that adding two interior angles is going to be equal to the exterior angle that is not touching either interior angle. The "remote" part means "far away" so just think of the two angles that are furthest way or not touching the exterior angle in question.
In terms of algebra, the rule is
x+y = z
The rule that connects x, y and z together is the remote interior angle theorem. It says that adding two interior angles is going to be equal to the exterior angle that is not touching either interior angle. The "remote" part means "far away" so just think of the two angles that are furthest way or not touching the exterior angle in question.
In terms of algebra, the rule is
x+y = z
Answer:
1. {5,-9}
2.{4}
3.{9/2}
Step-by-step explanation:
The equation can be solved as follows:
Then, the solutions of the equation are .
Now, if , we can solve the equation
as follows:
So, the unique solution of this last equation is
The last equation is , where
. To solve this equation we can proceed as follows:
But, x=11/4 is not a solution of this equation. So the unique solution is x=9/2.