Question

Triangle X is a right triangle that includes an angle with a measure of 37 degrees. Triangle Y is a right triangle that includes an angle with a measure of 53 degrees. Which statement is true? A. The triangles are not similar because a 37 degree angle and a 53 degree angle are not congruent. B. The triangles are similar because they each have a right angle. C. The triangles are similar because they each have angles that measure 37 degrees, 53 degrees, and 90 degrees. D. It's not possible to determine whether the triangles are similar from the information given.

Answer 1

Answer:

C. The triangles are similar because they each have angles that measure 37 degrees, 53 degrees, and 90 degrees.

Step-by-step explanation:

To determine the other angle in triangle X, let the other angle be x.

So, x + 37° + 90° = 180° (sum of angles in a triangle)

x + 127° = 180°

x = 180° - 127°

x = 53°

To determine the other angle in triangle Y, let the other angle be y.

So, y + 53° + 90° = 180° (sum of angles in a triangle)

x + 143° = 180°

x = 180 - 143°

x = 37°

Since all three angles in each triangle are similar, then triangles are similar because they each contain angles that measure 37°, 53° and 90°. So, C is the answer.

Answer 2

Answer:

c

Step-by-step explanation: