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Simora [160]
3 years ago
7

Please help me (show ur solution)​

Mathematics
2 answers:
Sav [38]3 years ago
6 0

Answer:

9.  x = 200  and  y = 100

10.  x = 68  and  y = 99

Step-by-step explanation:

<u>Question 9</u>

The measure of an arc is the measure of its central angle.

⇒ x = 200

This is a <u>non-cyclic quadrilateral</u> as not all its vertices touch the circumference of the circle.

The angle at the center is <em>twice </em>the angle at the circumference.

⇒ y = 200 ÷ 2

⇒ y = 100

<u>Question 10</u>

This is a <u>cyclic quadrilateral</u> as all its vertices touch the circumference of the circle.  

The opposite angles in a cyclic quadrilateral add up to 180°.

⇒ x + 112 = 180

⇒ x = 68

⇒ y + 81 = 180

⇒ y = 99

Alexandra [31]3 years ago
4 0

Answer:

See below ~

Step-by-step explanation:

<u>Q9</u>

  • <u>x = 200°</u> (arc measure = central angle measure)
  • The inscribed angle y is half of the arc length x
  • y = 1/2x
  • y = 1/2(200°)
  • <u>y = 100°</u>

<u>Q10</u>

  • x + 112 = 180
  • <u>x = 68°</u>
  • y + 81 = 180
  • <u>y = 99°</u>
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