n triangle XYZ angleY= 100degree angle Z=30° in triangle LMN angle M=100° angleN =
30° are triangle XYZ and triangle LMN similar if yes by which test
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Answered by
84
Given: Two triangles with some angles.
To find: If the triangles are similar?
Solution:
- Now we have given two triangles XYZ and LMN.
- In triangle XYZ , we have:
angle Y = 100 and angle Z = 30
- So angle X will be: 180 - 100 - 30
X = 50
- Similarly in triangle LMN, we have:
angle M = 100 and angle N = 30
- So angle L will be: 180 - 100 - 30
L = 50
so,
angle X= angle L
angle Y= angle M
- Now all the angles are equal of both the triangles, hence the triangles are similar by AAA similarity.
Answer:
So, the triangle XYZ is similar to triangle LMN by AAA similarity.
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