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This is only true of triangles. Rhombi and other "squashed" polygons with more than three sides show that it is not true otherwise.
The two equal sides meet at an angle. It can be shown that the bisector of that angle divides the triangle into two triangles with one set of equal sides, one common side and these sides define angles of equal measure. So by SAS, the two triangle are congruent and so the angles in question are equal.
Alternatively, you could prove (as easily) that the altitude from that angle divides the original triangle into two right angled triangles with a common side and equal hypotenuses. Again congruence resulting in the equality of the angles as required.
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What is a parallelogram that has all equal sides?
Rhombus = 4 equal sides Rectangle = 4 equal angles Square = 4 equal sides and 4 equal angles Rhomboid = unequal adjacent sides and angles
What is corresponding angles and sides are referred to as?
what is corresponding angles and sides referred to as They are the opposites that are equal if it is angles they are always equal if they are angles they can only be coarrasoponding if they are equal
Can a regular polygon have equal sides and equal angles?
Not only can a regular polygon have equal angles and sides, it must have them.
Does a regular polygon have equal angles and unequal sides?
A regular polygon has equal angles AND sides.
Triangle with no equal sides angles or sides?
A triangle with no equal sides or angles will always be classified as 'scalene'.
What is a parallelogram that has all equal sides?
Rhombus = 4 equal sides Rectangle = 4 equal angles Square = 4 equal sides and 4 equal angles Rhomboid = unequal adjacent sides and angles
What is corresponding angles and sides are referred to as?
what is corresponding angles and sides referred to as They are the opposites that are equal if it is angles they are always equal if they are angles they can only be coarrasoponding if they are equal
Triangle has no equal anles or sides?
Equaliateral Triangles have all three sides and angles (60 degrees)equal Isosceles Triangles have to equal sides and angles Scalene Triangles have no equal sides or angles
How many equal angles has a scalene got?
An Equilateral has 3 equal sides and 3 equal angles A scalene triangle has no equal angles and no equal sides.
If two sides of a triangle are of equal lengths what does that say about the angles opposite those sides?
The base angles of an isosceles triangle that has two equal sides are equal.
What is the name of a triangle with no equal sides or angles?
The scalene triangle has no equal sides, and, therefore, no equal angles. (A triangle with no equal sides cannot have any equal angles and vice versa.)
What shape has 4 equal sides with a oppoisite angles that are equal?
A square has 4 equal sides with opposite angles that are equal.
Is there pentagon with equal angles and equal sides?
Yes, a regular pentagon has 5 equal sides and 5 equal angles.
A sort of triangle as equal angles and sides?
An isosceles triangle has 2 equal sides and two equal angles.
Can a regular polygon have equal sides and equal angles?
Not only can a regular polygon have equal angles and sides, it must have them.
Does a rhombus have 2 equal sides and 4 angles?
it has 4 equal sides and no right angles
Does a regular polygon have equal angles and unequal sides?
A regular polygon has equal angles AND sides.
