Q: Which type of angles must be congruent?

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Angles that are congruent and supplementary must be right angles.

square and a rectangle

If 2 angles are congruent and complementary, they must each be 45 degrees.

An obtuse triangle must have two acute angles and these can be congruent.

False dood

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Angles that are congruent and supplementary must be right angles.

square and a rectangle

not all congruent angles are vertical angles. Vertical angles must share a vertex.

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.

Yes, this is the definition of congruent angles.Yes, this is the definition of congruent angles.Yes, this is the definition of congruent angles.Yes, this is the definition of congruent angles.

An impossibility. By definition a quadrilateral with 4 congruent sides must have congruent adjacent angles.

A square, but not a rhombus because a rhombus does not have four congruent angles

If 2 angles are congruent and complementary, they must each be 45 degrees.

An obtuse triangle must have two acute angles and these can be congruent.

All rhombuses have two pairs of congruent angles (opposite angles are congruent to one another - a square is a special case type of rhombus in which all four angles are congruent).

False dood

False. They must be congruent.