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All sides of the convex pentagon ABCDE are of equal length, and angle

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
All sides of the convex pentagon ABCDE are of equal length, and angle  [#permalink]

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26 Mar 2019, 23:07
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Difficulty:

25% (medium)

Question Stats:

88% (01:14) correct 13% (02:53) wrong based on 16 sessions

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All sides of the convex pentagon ABCDE are of equal length, and angle A = angle B = 90°. What is the degree measure of angle E?

(A) 90
(B) 108
(C) 120
(D) 144
(E) 150

Attachment:

Untitled.png [ 4 KiB | Viewed 482 times ]

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Joined: 27 Sep 2018
Posts: 37
Re: All sides of the convex pentagon ABCDE are of equal length, and angle  [#permalink]

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26 Mar 2019, 23:26
Join EC, so triangle DEC will be equilateral triangle

Also,/_ CEA=90°

Therefore, measure of angle E= 90+60=150

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Joined: 18 Aug 2017
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Location: India
Concentration: Sustainability, Marketing
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Re: All sides of the convex pentagon ABCDE are of equal length, and angle  [#permalink]

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27 Mar 2019, 01:12
Bunuel wrote:

All sides of the convex pentagon ABCDE are of equal length, and angle A = angle B = 90°. What is the degree measure of angle E?

(A) 90
(B) 108
(C) 120
(D) 144
(E) 150

Attachment:
Untitled.png

total sum of internal angle = 540
and CE joined we get ; 1 equilateral ∆ and 1 square
so angle E = 60+90 ; 150
IMO E
Re: All sides of the convex pentagon ABCDE are of equal length, and angle   [#permalink] 27 Mar 2019, 01:12
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