Question

Triangle M is similar to triangle N. Triangle M has two angles with measures of 32° and 93°. Which to angle measures could be included in triangle N.

Answer 1

Answer:

The correct answer is c. 93° and 55°

Step-by-step explanation:

If the two triangles are similar, that means the two triangles are congruents (similar shape, size and angles).

Triangles have a property that they always have to fulfill, which is, that the angles of the triangle have to sum 180 degrees.

Angle 1 + Angle 2 + Angle 3 = 180°

Therefore, if triangle M has Angle 1 = 32° and Angle 2 = 93°

32° + 93° + Angle3 = 180°

Angle3 = 180° - 32° - 93°

Angle3 = 55°

Therefore, Triangle N must have the same angles:

Angle1 = 32°

Angle2 = 93°

Angle3 = 55°

Therefore the correct answer is c. 93° and 55°

Answer 2

Its c bc all of a triangles sides add up to 180 and if you do 32 + 93= 125 and then if you add 55 you get 180, sense the triangles are the same that means they have the same angles so if you add 93 + 55 you get 148 and 148 + 32 = 180