The figure below shows an initial plan for a triangular flower bed that Mary and Tom plan to build along a fence. They are discussing what the measure of ∠1 should be.

Did Mary and Tom both reason correctly? If not, who made a mistake and what mistake was made? If they did both reason correctly, what can you conclude about their initial plan? Explain.

Transcribed Image Text:

Mary's conclusion: Use the Triangle Sum Theorem. 50° +100° +MLI = 180° MLI = 30° 145° I I Tr 1 yard fence 100° 50% Tom's conclusion: Use the definition of a linear pair. 145° + m1 = 180° m1 = 35°