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nadezda [96]
2 years ago
5

Select ALL the correct answers.

Mathematics
1 answer:
shepuryov [24]2 years ago
6 0

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary

The description of the angles in the quadrilaterals are:

  • b. m∠M = 55°, m∠J = 48°, and m∠L = 132°
  • d. m∠L = 40°, m∠M = 60°, and m∠K = 120°
  • e. m∠K = 72°, m∠L = 44°, and m∠M = 108°
  • f. m∠J = 105°, m∠K = 65°, and m∠L = 75°

<h3>How to describe the angles</h3>

The quadrilateral is given as: JKLM

The opposite angles are:

  • Angles J and L
  • Angles K and M

The opposite angles are supplementary

So, we have:

J + L = 180

K + M = 180

Next, we test the options

<u>Option (a)</u>

J + L = 180

125 + 35 = 160

This is not true

<u>Option (b)</u>

J + L = 180

48 + 132 =180

This is true

<u>Option (c)</u>

K + M = 180

12 + 78 = 180

This is not true

<u>Option (d)</u>

K + M = 180

120 + 60 = 180

This is true

<u>Option (e)</u>

K + M = 180

72 + 108= 180

This is true

<u>Option (f)</u>

J + L = 180

105 + 75 = 180

This true

Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)

Read more about inscribed quadrilaterals at:

brainly.com/question/26690979

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