In the triangles, XY = MP and YZ = PN.
2 answers:
Answer:
Option C.
Step-by-step explanation:
Given information: XY ≅ MP, YZ ≅ PN , XZ=23 inches and MN=19 inches.
In triangles YXZ and PMN,
XY ≅ MP (Given)
YZ ≅ PN (Given)
Included angle of the first triangle is ∠Y.
Included angle of the second triangle is ∠P=85.
According to hinge theorem if two sides of a triangle are congruent to two sides of another triangle, then third side depends on the included angle.
If the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.
XZ > MN
∠Y > ∠P
∠Y > 85°
Interior angle of a triangle is always less than 180°, because the sum of all interior angles of a triangle is 180°.
Only possible value of ∠Y is 100°.
Therefore, the correct option is C.
Answer:
C.m angle Y=100 degree
Step-by-step explanation:
We are given that
In triangle XYZ and MPN
XY=MP
YZ=PN
XZ=23 in
MN=19 in
23 in>19 in
XZ>MN
Opposite angle of side XZ=Angle Y
Opposite angle of side MN=Angle P
We know that
When a side is greater than other side
Then, the angle opposite to greater side will be greater than the angle opposite to smaller side.
Ange Y>angle P
Option A and B are wrong
Option D is not possible because triangle angle sum =180 degree
Therefore, m angle Y=100 degree
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