Use the diagram to answer the question.
Which of the following statements is true?
(1 point)
Responses
m∠LSO + m∠MSO = 180°
m ∠ LSO + m ∠ MSO = 180°
∠LSMcongruent ∠NSM
∠ LSM Image with alt text: congruent ∠ NSM
m∠LSM + m∠SML + m∠MLS = 360°
m ∠ LSM + m ∠ SML + m ∠ MLS = 360°
m∠NSO + m∠OSL + m∠LSM + m∠MSN = 360°
m∠NSO + m∠OSL + m∠LSM + m∠MSN = 360°
Based on the given diagram, the following statement is true:
m∠LSM + m∠SML + m∠MLS = 360°
To find the answer, we need to analyze the diagram and the given statements. Let's go through each option:
1. m∠LSO + m∠MSO = 180°: This statement involves angles LSO and MSO. Look at the diagram and find the angles LSO and MSO. Add up their measurements. If their sum is equal to 180°, then this statement is true.
2. ∠LSM ≅ ∠NSM: This statement states that angles LSM and NSM are congruent. To determine if this is true, analyze the diagram and compare the measurements of angles LSM and NSM. If they have the same measurement, then this statement is true.
3. m∠LSM + m∠SML + m∠MLS = 360°: This statement involves angles LSM, SML, and MLS. Find these angles on the diagram and add up their measurements. If their sum is equal to 360°, then this statement is true.
4. m∠NSO + m∠OSL + m∠LSM + m∠MSN = 360°: This statement involves angles NSO, OSL, LSM, and MSN. Find these angles on the diagram and add up their measurements. If their sum is equal to 360°, then this statement is true.
By analyzing the diagram and calculations, you should be able to determine which of the statements is true.