Question

In AABC, A= 75°, B = 40° and C = 65°, find the measures of angles of the triangle formed by joining the midpoints of the sides of AABC.​
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Answer 1

Explanation:

Let D,E, and F be the mid-points of BC,CA and AB respectively.

Then,

BDEF and CDFE parallelograms.

∴∠B=∠E and ∠C=∠F⇒∠E=60

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and ∠F=70

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Similarly, we have

∠D=∠A=∠D=50

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