Please help me (show ur solution)
2 answers:
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
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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