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Two of the statements are true; one is a lie.


Select the one that is a lie.

Then explain your reasoning.


∠GAF ≌ ∠TAE.

∠TAE and ∠FAH are complementary.

∠TAF is obtuse.

Two of the statements are true one is a lie Select the one that is a lie Then explain your reasoning GAF TAE TAE and

Answer :

Answer:

Statement 3

Step-by-step explanation:

∠GAF ≅ ∠TAE

Since, there is no relation between these angles,

Therefore, statement is False.

∠TAE and ∠FAH are complementary.

If the sum of the two angles is 90°, pair of angles is said to be complimentary angles.

Therefore, this statement is False.

∠TAF is obtuse.

Measure of obtuse angle is more than 90°

From the given picture, measure of ∠TAF = m∠TAH + m∠HAF

= 90° + 50°

= 140°

Here, m∠TAF > 90°

Therefore, ∠TAF is an obtuse angle.

Statement (3) is the correct statement.

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