Question & Answer

With the information given in the diagram, which statement is true?

With the information given in the diagram, which statement is true?
PL = 21 units
The perimeter of ΔEHN is 40 units.
m∠P = 61°
m∠H = 82°

1 Answer

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Quizzma TeamMarch 21, 2025

To determine which statement is true based on the information provided, let’s look at the details:

1. PL = 21 units: This gives us the length of one side.
2. Perimeter of ΔEHN = 40 units: This allows us to understand the total length of all three sides of triangle EHN.
3. m∠P = 61° and m∠H = 82°: These angles can help us understand the relationship in the triangles.

To find a true statement without any specific statements given, we can conclude that:

– The angles within a triangle add up to 180 degrees. Given that m∠P and m∠H are 61° and 82° respectively, the third angle (let’s call it m∠E) can be found as follows:

m∠E = 180° – (m∠P + m∠H)

m∠E = 180° – (61° + 82°)

m∠E = 180° – 143°

m∠E = 37°

Thus, one correct statement would be that the measure of angle E (m∠E) is 37°.

To summarize, without specific statements, we can conclude about the angles in triangle EHN. If you have particular statements to evaluate, feel free to share!