Question 2 of 10
2 points
true or false? the opposite angles of a quadrilateral in a circumscribed circle
are always complementary.
o
a. true
o
b. false
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Choice B. False. Rather, the opposite angles of a circumscribed quadrilateral are always supplementary with a sum of 180 degrees.

Step-by-step explanation:

Refer to the sketch attached.

Consider the quadrilateral ABCD inscribed in the circle O. Angle is the angle that line BA and DA inscribe. The green angle at O will be the arc that the two lines intercepts. Let angle A equals degrees. By the inscribed angle theorem for circles, The green angle will measure .

Similarly, the arc that line CD and CB intercept will equal to twice the measure of . The angle of that arc is the red angle at the origin. The value of that arc will equal to .

Angle is half the measure of that arc. That is:

.

Note that . The sum of A and angle C is 180 degrees. In other words, the two angles are supplementary. The claim that the two angles are complementary (which describes two angles with a sum of 90 degrees) will thus be false.

y=mx+b

step-by-step explanation:

m slope, b y-intercept

show us the graphs dude

step-by-step explanation: