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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°




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What is the capital of Egypt? ( Cairo )

1 Answer

  1. 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!

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