Question

Which of the following theorems verified that angle xyz is congruent too angle uwv?

Answer 1

Option B. AA

Explanation:

we know that

Angle-Angle (AA) Similarity Postulate, states that If two angles of one triangle are congruent to two angles of another, then the triangles must be similar

In this problem

In the triangle XYZ

∠X=70°

∠Y=90°

∠Z=90°-70°=20° (remember that angle X and angle Z are complementary)

In the triangle UWV

∠V=20°

∠W=90°

∠U=90°-20°=70° (remember that angle V and angle U are complementary)

therefore

Traingles XYZ and UWV are similar by AA Similarity Postulate