Question

One of the triangles shown was created by a series of rigid motions applied to the other triangle. Find the values of a and b.

A triangle has sides labeled 14, 15, and 17. A second triangle has sides labeled 14, 15, and b. In the first triangle, the angle formed by the sides labeled 14 and 17 is labeled 57 degrees, and the angle formed by the sides labeled 15 and 17 is labeled 51 degrees. In the second triangle, the angle formed by the sides labeled 14 and 15 is labeled a degrees.

(1 point)
Responses

a=54°
, b=17
A is equal to 54 degrees, b is equal to 17 - no response given

a=54°
, b=14
A is equal to 54 degrees, b is equal to 14 - no response given

a=72°
, b=16
A is equal to 72 degrees, b is equal to 16 - no response given

a=72°
, b=17
A is equal to 72 degrees, b is equal to 17 - correct
Correct.
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1 answer

Well done! The correct values are a = 72° and b = 17. These values correspond to the transformation of the first triangle to the second triangle through a rigid motion.