Question

Figure BORT- Figure XZGJ. What are the pairs of congruent angles?

Answer 1

First option.

Explanation:

Look at the position of letters, you don't really need to look at the picture.

BQRT ~ XZGJ means figure BQRT is similar to figure XZGJ and congruent angles are written in same order.

So first letter of BQRT is B and first letter of XZGJ is X.

That means that angle B is congruent to angle X.

You can write that as: ∠B ≅ ∠X

Second letter of BQRT is Q and second letter of XZGJ is Z.

Angle Q is congruent to angle Z.

∠Q ≅ ∠Z

And same for last two pairs of angles.

Final answer:

∡B ≅ ∡X, ∡Q ≅ ∡Z, ∡R ≅ ∡G, ∡T ≅ ∡J

Answer 2

The pairs of congruent angles are: ∡B ≅ ∡X, ∡Q ≅ ∡Z, ∡R ≅ ∡G, and ∡T ≅ ∡J.

What are Similar figures?

The statement "Figure BQRT ~ Figure XZGJ" implies that the two figures are similar. In similar figures, corresponding angles are congruent. Therefore, the pairs of congruent angles are those angles that correspond to each other in the two figures.

Let's identify the corresponding angles:

∡B in Figure BQRT corresponds to ∡X in Figure XZGJ.

∡Q in Figure BQRT corresponds to ∡Z in Figure XZGJ.

∡R in Figure BQRT corresponds to ∡G in Figure XZGJ.

∡T in Figure BQRT corresponds to ∡J in Figure XZGJ.

So, the pairs of congruent angles are:

∡B in Figure BQRT congruent to ∡X in Figure XZGJ.

∡Q in Figure BQRT congruent to ∡Z in Figure XZGJ.

∡R in Figure BQRT congruent to ∡G in Figure XZGJ.

∡T in Figure BQRT congruent to ∡J in Figure XZGJ.