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Question

In ΔABC,A=45,B=60 and C=75. The angles of the triangle formed by joining the mid – points of the sides of this triangles are:
 


Your Answer
A
Correct Answer
B
Your Answer
C
Your Answer
D

Solution

The correct option is A

The measures of the angles of the ΔDEF formed by joining the mid-point points of the sides of the ΔABC is given as:

D=A,              [Since AFDE is a parallelogram]
E=B             [Since BFED is a parallelogram]
and F=C       [Since CDFE is a parallelogram]
Hence,the angles of the triangle formed by joining the mid – points of the sides of this triangles are 45,60,75.

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