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Circle M is shown. Line segments H M, J M, and K M are radii. Lines are drawn from point H to point K, and from point J to point K. Tangents K L and J L intersect at point L outside of the circle. Angle J M K is 131 degrees.
Which statements are true? Check all that apply.

The circumscribed angle L has a measure of 49°.
The circumscribed angle L has a measure of 65.5°.
If the measure of arc HJ is 98°, the measure of angle HMJ is 98°.
If the measure of arc HJ is 98°, the measure of angle HKJ is 98°.
If the measure of arc HJ is 98°, the measure of arc HK is 131°.

Respuesta :

Answer:

The circumscribed angle L has a measure of 49°.

If the measure of arc HJ is 98°, the measure of angle HMJ is 98°.

If the measure of arc HJ is 98°, the measure of arc HK is 131°.

Step-by-step explanation:

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The statements which are true about angles are:

  • The circumscribed angle L has a measure of 49°
  • If the measure of arc HJ is 98°, the measure of angle HMJ is 98°.
  • If the measure of arc HJ is 98°, the measure of arc HK is 131°.

What is an Angle?

This refers to the figure created by two rays in geometrical objects which are on the sides of a shape and have similar end points.

With this in mind, we can see that based on the circle M, H,M, J and the line segments shown, when there are tangents of K L and J L, then the statements which are true are:

  • The circumscribed angle L has a measure of 49°
  • If the measure of arc HJ is 98°, the measure of angle HMJ is 98°.
  • If the measure of arc HJ is 98°, the measure of arc HK is 131°.

Read more about angles here:
https://brainly.com/question/25770607

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