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Question

Statement I: Two triangles are similar if two corresponding angles are equal.
Statement II: The sum of internal angles in a triangle is 180.


A
Statement I is true. Statement II is true. Statement II is the correct explanation of Statement I.
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B
Statement I is true. Statement II is true. Statement II is not the correct explanation of Statement1.
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C
Statement I is true. Statement II is false.
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D
Statement I is false. Statement II is true.
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Solution

The correct option is B Statement I is true. Statement II is true. Statement II is not the correct explanation of Statement1.
Consider two triangles, Δ ABC and Δ DEF in which
A=D,B=E.
We know that sum of internal angles in a triangle is 180.
The third angle can be obtained by
C=180AB.
Similarly the third angle in Δ DEF is
F=180DE=180AB=C.
Hence the three angles are equal and by AAA similarity the two triangles are similar.

Mathematics

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