Question

Major arc JL measures 300°.

Circle M is shown. Line segments M J and M L are radii. Tangents J K and L K intersect at point K outside of the circle. Major arc J L is 300 degrees.

Which describes triangle JLM?

right
obtuse
scalene
equilateral

Answer 1

Answer:

The answer is D. Equilateral

Step-by-step explanation:

Answer on edg

Answer 2

The triangle ΔJLM is an equilateral triangle. Then the correct option is D.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In an isosceles triangle, two angles and their opposite sides are equal.

In an equilateral triangle, all the angles and sides of the triangle are congruent.

Circle M is shown. Line segments MJ and ML are radii.

Tangents JK and LK intersect at point K outside the circle.

Major arc JL is 300 degrees.

Then the measure of the minor arc will be

Major arc + minor arc = 360°

       300° + minor arc = 360°

                   Minor arc = 60°

Then the measure of angle ∠MLJ will be

Minor arc = ∠LMJ = 60°

Then the sides MJ and ML congruent, then their opposite angles are also congruent.

∠MJL = ∠MLJ

Then the measure of the angle ∠MLJ will be

∠MJL + ∠MLJ + ∠LMJ = 180

   ∠MLJ + ∠MLJ + 60° = 180°

                        2∠MLJ = 120°

                          ∠MLJ = 60°

All the angles of the triangle are congruent.

Then the correct option is D.

More about the triangle link is given below.

https://brainly.com/question/25813512

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