Normally just the one triangle but as many as you like providing that the given 3 acute angles add up to 180 degree.
One way is to draw a straight line from the constructed line to the given line. If the lines are parallel, than the acute angle at the given and constructed line will be the same as will be the obtuse angles at the given and constructed line.
Acute angles
(1) vertical angles, (2) congruent triangles
Because ALL triangles total 180o...
No because the 3 angles of a triangle add up to 180 degrees and the given 2 angles already add up to 180 degrees
All acute angles measure 50 degrees. All obtuse angles are supplementary to the acute angles, so they measure 130 degrees.
It is impossible to find a triangle if only angle measures are given (all similar triangles have the same angles).
As many as you like but they will all be scalene triangles formed by the given angles that add up to 180 degrees
An isosceles triangle fits the description given or an equilateral triangle which has 3 equal sides and 3 equal acute angles.
They can be: acute, right angle, obtuse or reflex
What are the properties of the various triangles given:Isosceles triangles have two sides equal, two angles equalScalene triangles have all three sides different and all three angles differentRight triangles have one angle which is a right angle (90°)acute triangles have all angles less than 90°obtuse triangles have one angle greater than 90°As an isosceles triangle has two sides equal, it cannot be a scale triangle which has all three angles different.For the other three properties, consider:The sum of the angles in a triangle is 180°If one angle is 90°, the other two angles could be: (180° - 90°) / 2 = 45° each - two angles the same→ an isosceles triangle could be a right triangleIf all angles are less than 90°, let one angle be 80°, the other two angles could be: (180° - 80°) / 2 = 50° each - two angles the same→ an isosceles triangle could be an acute triangle(Note that if one angle was 60°, then the other two being equal would be: (180° - 60°) / 2 = 60° each making all three angles the same and the triangle an equilateral triangle)If one angle is greater than 90°, let it be 100°, the other two angles could be: (180° - 100°) / 2 = 40° each - two angles the same→ an isosceles triangle could be an obtuse triangleFrom the given list, an isosceles triangle could be a right, acute or obtuse triangle, but it could not be a scalene triangle.
congruent