—The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
The measure of an inscribed angle is half the measure of the intercepted arc. That is, m∠ABC=12m∠AOC. This leads to the corollary that in a circle any two inscribed angles with the same intercepted arcs are congruent.
The answer would be C) 1235.
Answer:
Step-by-step explanation:
x+y = 8
y = 8-x
xy = 17
x(8-x) = 17
8x - x² = 17
x² - 8x + 17 = 0
Quadratic formula
x = [8 ± √(8² – 4·1·17)] / [2·1]
= [8 ± √(-4)] / 2
= [8 ± 2i] /2
= 4±i
x = 4+i
y = 4-i
Answer:
C. It is an angle that has its vertex at the center of a circle.
Step-by-step explanation:
That's the definition.
A. is wrong. An angle with a measure greater than 180° is an obtuse angle,
B. is wrong. An angle that has its vertex on the circle is an inscribed angle.
D. is wrong. Part of the circumference of a circle is an arc.
