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Question

If two angles of one triangle are equal to the corresponding two angles of another triangle, their sides are ____________.

A
coincident
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B
parallel
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C
equal
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D
proportional
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Solution

The correct option is D proportional
When two angles of a triangle are equal to the corresponding two angles of another triangle, the triangles are similar and their sides are in the same ratio, i.e. their sides are proportional.
Example:

Here,
B=Q
A=P
C=R (When two angles of a triangle are equal, the third angle is also equal.)
So, ΔABCΔPQR
ABPQ=BCQR=ACPR
Hence, the sides are in the same proportion.

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