Question
△ DEF ≅ △ LMN
m∠D = m∠L = 70°
m∠F = m∠N = 30°
Which of the following statements is NOT true?
- △ EFD ≅△ MNL
- By third angles theorem, ∠E ≅ ∠M
- By triangle sum property, m∠E = m∠M = 90°
-
m∠E = m∠M = 80°
Hint:
check the option wise possibility by using the congruence condition
The correct answer is: By triangle sum property, m∠E = m∠M = 90°
a. △ EFD ≅△ MNL (TRUE as the order is maintained )
b. By third angles theorem, ∠E ≅ ∠M (True , corresponding angles are congruent)
c. By triangle sum property, m∠E = m∠M = 90°
[False , In triangle DEF , m∠D +m∠E +m∠F = 180 
70 + 90 +30 = 190 (
180 )]
d. m∠E = m∠M = 80° (true ,It satisfies the above condition )
Option C is Not True .
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