Question

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?

Answer 1

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

Answer 2

Answer:

a and d

Step-by-step explanation: