The sum of the interior angles of a polygon is 1620°. how many sides does it have
1 answer:
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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°
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:
Next, we test the options
<u>Option (a)</u>
This is not true
<u>Option (b)</u>
This is true
<u>Option (c)</u>
This is not true
<u>Option (d)</u>
This is true
<u>Option (e)</u>
This is true
<u>Option (f)</u>
This true
Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)
Read more about inscribed quadrilaterals at: