Draw a straight line and put two points on it a convenient distance apart. Construct one of the angles with the vertex at the point on the left. Pick a second angle and construct it using the point on the right as a vertex. Then extend the two rays from the angles you constructed until they meet at a point.
Notice that if you know three angles and none of the sides, the triangle is not completely determined. The triangle needs to be scaled. By arbitrarily picking the length of one side of the triangle you determine the triangle.
Notice that if you know three angles and none of the sides, the triangle is not completely determined. The triangle needs to be scaled. By arbitrarily picking the length of one side of the triangle you determine the triangle.
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as long as the sum of the angles is equal to 360 degrees you should. If not then you cant connect the lines correctly to construct a triangle. This is what i mean "The sum of the measures of the three exterior angles (one for each vertex) of any triangle is 360 degrees." While most triangles you come across are right angle or equilateral there are also scalene to deal with that has no equal angles.So the one rule they all follow is that 360 degrees are what the exterior angles add to. See my reference for more basic rules.
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From the info you have provided, have two straight lines intersect at an angle equal to one of the given angles. Call one line A-B and the second line B-C. The vertex is at B. At some arbitrary distance from this vertex have a second line intersect the first at A another of the given angles. by extending this line and the line B-C they will intersect and form the third angle.
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Ewww, constructions. You need a compass and straight edge.
1.) Draw a straight line.
2.) Copy one of the angle by:
a.) Putting the pointy part of your compass on the vertex of the angle (where two lines meet.)
b.) Make an arc.
c.) DON'T CHANGE THE SIZE OF YOUR COMPASS, then go to the line you drew and make a huge arc.
d.) Go back to the angle your copying and put the pointy part where the arc you made and the line intersects and extend your compass to the other side where your arc and THAT line intersect.
e.) Go to to the other angle you're making and put the pointy part on the only line your arc is intersecting and then make an arc that intersects with the other side and draw a line through the point where they intersect.
Now it's up to you to figure out how the other 2 angles are going to go.
1.) Draw a straight line.
2.) Copy one of the angle by:
a.) Putting the pointy part of your compass on the vertex of the angle (where two lines meet.)
b.) Make an arc.
c.) DON'T CHANGE THE SIZE OF YOUR COMPASS, then go to the line you drew and make a huge arc.
d.) Go back to the angle your copying and put the pointy part where the arc you made and the line intersects and extend your compass to the other side where your arc and THAT line intersect.
e.) Go to to the other angle you're making and put the pointy part on the only line your arc is intersecting and then make an arc that intersects with the other side and draw a line through the point where they intersect.
Now it's up to you to figure out how the other 2 angles are going to go.