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In the figure shown, AC = 2 and BD = DC = 1. What is the mea
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02 Jun 2020, 01:52
02 Jun 2020, 01:52
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In the figure shown, AC = 2 and BD = DC = 1. What is the measure of angle ABD?
A. 15°
B. 20°
C. 30°
D. 40°
E. 45°
Re: In the figure shown, AC = 2 and BD = DC = 1. What is the mea
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02 Jun 2020, 01:57
02 Jun 2020, 01:57
Expert Reply
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Re: In the figure shown, AC = 2 and BD = DC = 1. What is the mea
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02 Jun 2020, 05:18
02 Jun 2020, 05:18
Carcass wrote:
Attachment:
shot111.jpg
In the figure shown, AC = 2 and BD = DC = 1. What is the measure of angle ABD?
A. 15°
B. 20°
C. 30°
D. 40°
E. 45°
If AC = 2 and DC = 1, then we can conclude that AD = 1
Add this information to the diagram...
If AD = 1 and BD = 1, then ∆ABD is an ISOSCELES triangle, which means ∠DAB = ∠ABD are EQUAL...
If we let x = BOTH ∠DAB and ∠ABD, then we can use the fact that angles in a triangle add to 180º
We can write: x + x + 120 = 180
Simplify: 2x + 120 = 180
Solve: x = 30
In other words, ∠ABD = 30º
Answer: C
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