Answer:
Becky, because her justification for the second statement should be "definition of supplementary angles" rather than "angle addition postulate."
Step-by-step explanation:
Becky completed the proof incorrectly because her justification for the second statement is not totally correct.
Angle addition postulate does not really apply here, as the sum of 2 angles may not give you exactly 180°.
However, the second statement, m<AKG + m<GKB = 180° and m<GKB + m<HKB = 180°, can be justified by the "Definition of Supplementary Angles".
The sum of supplementary angles = 180°.
Therefore, Becky completed the proof incorrectly.
Answer:
130.8
Step-by-step explanation:
I did the quiz
Answer: 68
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Explanation:
Segment EC is a diameter as it goes through the circle center point O. So arc EDC is 180 degrees in measure.
Arc EDC is composed of the minor arcs DE and DC.
In other words, the two minor arcs mentioned add up to 180 degrees
We want to know DE and we know that DC = 112
So,
(minor arc DE) + (minor arc DC) = arc EDC
(minor arc DE) + (minor arc DC) = 180
(minor arc DE) + (112) = 180
(minor arc DE) + 112 - 112 = 180 - 112
minor arc DE = 68
