(Inscribed Angles)
1 answer:
Answer:
(D) 30 degrees
Step-by-step explanation:
An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.
<u>Theorem(Inscribed Angles Conjecture I): </u>In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc.
By the theorem above and from the attached diagram,
Inscribed Angle p =Half of 60 degrees
<u>The correct option is D.</u>
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Answer:
Option A
Step-by-step explanation:
By applying Pythagoras theorem in ΔABC,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
AC² = AB² + BC²
AC² = 6² + 5²
AC =
Similarly, by applying Pythagoras theorem in ΔACD,
AD² = AC² + CD²
(10)² = + x²
x² = 100- 61
x² = 39
x = √(39)
Option A will be the answer.
