Question

major arc jl measures 300°. which describes triangle jlm?
○ right
○ obtuse
○ scalene
○ equilateral

Explanation:

Step1: Find minor arc JL

A full circle is $360^\circ$, so subtract major arc JL from $360^\circ$.
$\text{Minor arc } JL = 360^\circ - 300^\circ = 60^\circ$

Step2: Find $\angle JML$

The central angle equals its arc measure.
$\angle JML = \text{Minor arc } JL = 60^\circ$

Step3: Analyze sides of $\triangle JLM$

$MJ$ and $ML$ are radii, so $MJ = ML$.

Step4: Classify the triangle

A triangle with two equal sides and a $60^\circ$ included angle is equilateral.

Answer:

equilateral