Origami is the japanese art of paper folding. the diagram below represents an unfolded paper kabuto, a samurai warrior's helmet. from the kabuto below, which of the following are pairs of congruent angles?

Angles are congruent if they have same angle measure.

Let us consider the given pairs one by one.

A. ∠MKR and ∠OAR

From the figure it is clear that the angle bisector of the right angled vertices form the angles MKR and OAR.

Hence they are congruent with value 45°

B. ∠ONT and ∠MTN

From the figure, MTN is right angled, where as ONT is formed by bisecting the right angle.

So, the angles are not congruent with ∠MTN = 90° and ∠ONT = 45°

C. ∠IRS and ∠MRO

From the figure, MRO is right angled, where as IRS is formed by bisecting the right angle.

So, the angles are not congruent with ∠MRO = 90° and ∠IRS = 45°

D. ∠URC and ∠TRO

From the figure it is clear that the angle bisector of the right angled vertices form the angles URC and TRO.

Hence they are congruent with value 45°

∴ The pair of congruent are angles are

A. ∠MKR and ∠OAR and D. ∠URC and ∠TRO

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step-by-step explanation: