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In the figure shown, a = d and b + c = 100°. What is the value of a?

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Bunuel
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In the figure shown, a = d and b + c = 100°. What is the value of a? [#permalink] New post   26 Oct 2020, 10:50
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In the figure shown, a = d and b + c = 100°. What is the value of a?

A. 20°
B. 30°
C. 40°
D. 50°
E. 60°

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jhavyom
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Re: In the figure shown, a = d and b + c = 100°. What is the value of a? [#permalink] New post   26 Oct 2020, 12:10
a + b + c + d = 180
a + 100 + d = 180 (since b+c = 100)
a + 100 + a = 180 (since a=d)
2a = 80
a = 40
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Re: In the figure shown, a = d and b + c = 100°. What is the value of a? [#permalink] New post   26 Oct 2020, 21:15
a, b, c, and d are complementary angles, so their sum should be 180. It is given that b + c=100 and d is equal to a.
a + b + c + d=180
a +100 + a =180
2a=80
a=40 C)
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Re: In the figure shown, a = d and b + c = 100°. What is the value of a? [#permalink] New post   26 Oct 2020, 23:49
Bunuel wrote:

In the figure shown, a = d and b + c = 100°. What is the value of a?

A. 20°
B. 30°
C. 40°
D. 50°
E. 60°

Show Spoiler
Attachment:
2020-10-26_21-48-41.png


\(a + a + 100 = 180\)

So, \(2a = 80\)

Or, \(a = 40\), Answer must be (C)
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Re: In the figure shown, a = d and b + c = 100°. What is the value of a? [#permalink]
26 Oct 2020, 23:49
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