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What is the measure of A
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11 May 2021, 10:32
11 May 2021, 10:32
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40% (01:00) correct
60% (01:51) wrong based on 5 sessions
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What is the measure of \(\angle A\)
Select all that apply
A. \(80<A<100\)
B. \(100<A<130\)
C. \(50<A<80\)
D. \(90<A<125\)
E. \(130<A<150\)
F. \(70<A<100\)
G. \(91<A<115\)
What is the measure of A
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11 May 2021, 23:50
11 May 2021, 23:50
1
From the figure,
\(\angle CDF\) = \(\angle EDB\) = \(80\)
in triangle BDE, \(\angle EBD\) = \(60\)
Now, CGEB is a cyclic quadrilateral. So the opposite angles are supplementary.
\(\angle EGC\) + \(\angle EBC\) = \(180\)
\(\angle A\) = \(\angle EGC\) = \(120\)
Only B & D are the possible ranges.
Answer B D
\(\angle CDF\) = \(\angle EDB\) = \(80\)
in triangle BDE, \(\angle EBD\) = \(60\)
Now, CGEB is a cyclic quadrilateral. So the opposite angles are supplementary.
\(\angle EGC\) + \(\angle EBC\) = \(180\)
\(\angle A\) = \(\angle EGC\) = \(120\)
Only B & D are the possible ranges.
Answer B D
