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Q: Is a triangle with two congruent angles always a 45-45-90 triangle?

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A triangle with three congruent angles

always

In an isosceles triangle 2 sides are congruent and 2 angles are congruent. In an equilateral triangle all 3 sides are congruent and all 3 angles are congruent also.

Yes, because of the base angles theorem converse: If two angles in a triangle are congruent, then the sides opposite the angles are congruent.

Vertical angles must necessarily be congruent, however congruent angles do not necessarily have to be vertical angles. An example of congruent angles which are not vertical angles are the 3 interior angles of an equilateral triangle. These angles do not share the same vertex yet they are congruent.

Related questions

A 45-45-90degree triangle is classified as an isosceles triangle.

No, An equilateral triangle has 3 congruent angles, an isosceles triangle has 2 congruent angles, a scalene triangle has no congruent angles.

If two angles in a triangle are congruent to two angles in another triangle, then the ______________ angles are also congruent.

triangle

Not always

No.

no triangle do not have four congruent angles

A triangle with three congruent angles

An obtuse triangle does not always have three congruent sides. An obtuse triangle can be any form that always has three angles.

always

The base angles are always congruent.

A scalene triangle is a triangle in which all three sides and all three angles are different. Therefore two angles of a scalene triangle are NEVER congruent.

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