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In the hexagon above,∠A = 101°,∠E = 111°, and all other angl
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06 May 2020, 15:08
06 May 2020, 15:08
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Question Stats:
61% (00:45) correct
38% (00:40) wrong based on 13 sessions
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In the hexagon above,∠A = 101°,∠E = 111°, and all other angles are equal. What is the measure of ∠F?
A. 82°
B. 106°
C. 120°
D. 127°
E. 222°
Kudos for the right answer and explanation
Re: In the hexagon above,∠A = 101°,∠E = 111°, and all other angl
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06 May 2020, 17:11
06 May 2020, 17:11
1
Sum of interior angles of polygon = 180*(n-2)
for hexagon, n=6
the sum of all interior angle of hexagon = 180*(6-2) = 720
∠A + ∠B + ∠C + ∠D + ∠F + ∠E = 720
101 + x + x + x + x + 111 = 720; all other angles except ∠A and ∠E are equal
4x= 508
x=127
∠F=127
for hexagon, n=6
the sum of all interior angle of hexagon = 180*(6-2) = 720
∠A + ∠B + ∠C + ∠D + ∠F + ∠E = 720
101 + x + x + x + x + 111 = 720; all other angles except ∠A and ∠E are equal
4x= 508
x=127
∠F=127
Re: In the hexagon above,∠A = 101°,∠E = 111°, and all other angl
[#permalink]
06 May 2020, 22:46
06 May 2020, 22:46
1
Sum of interior angles of a hexagon = 720
Since, sum of two of interior angles is 212 and other 4 of them are equal
=> 212 + 4a = 720
=> a = 127
So, the answer is D.
Since, sum of two of interior angles is 212 and other 4 of them are equal
=> 212 + 4a = 720
=> a = 127
So, the answer is D.
