Major arc jl measures 300°. Which describes triangle jlm?

Step 1: Define the Problem

Identify the key components of the question that need to be addressed:

• We need to understand the relationship between the major arc $JL$ and triangle $JLM$.

Step 2: Break Down the Problem

Divide the problem into smaller, manageable parts:

1. Determine the measure of the minor arc $JL$.
2. Analyze how the arc relates to the angles in triangle $JLM$.

Step 3: Apply Relevant Concepts

Use appropriate academic theories or formulas to solve each part of the problem:

• The total measure of a circle is $360^\circ$.
• The measure of the minor arc $JL$ is $360^\circ - 300^\circ = 60^\circ$.
• The angle at the center of the circle subtended by the minor arc is $60^\circ$.

Step 4: Analysis, Verify and Summarize

Analyze each part in detail if necessary, carry out the calculations by steps. Verify the calculations result and summarize the findings:

• Since the angle subtended by the minor arc at the center is $60^\circ$, the angle $\angle JLM$ at the circumference subtended by the same arc is half of that, which is $30^\circ$ (by the Inscribed Angle Theorem).

Final Answer

Triangle $JLM$ is described as having an angle $\angle JLM = 30^\circ$.