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Sub 505 Level|   Geometry|      
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Bunuel
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In the figure above, ACD is a line segment. What is the value of x? 24 Aug 2017, 02:04
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A
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5% (low)

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97% (00:33) correct 3% (00:15) wrong based on 74 sessions

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In the figure above, ACD is a line segment. What is the value of x?

(A) 30
(B) 33
(C) 36
(D) 40
(E) 45

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A
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In the figure above, ACD is a line segment. What is the value of x? 24 Aug 2017, 02:14
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18t=180;
t=10.
10t+5t+x=180;
x=30
Ans: A

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In the figure above, ACD is a line segment. What is the value of x? 24 Aug 2017, 02:57
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Ans : A

ACB+BCD = 180 (Supplementary angles)

10t+8t= 180.
Thus t= 10 degree.

In triangle ABC , x+10t+5t= 180 degree.

Thus substituting values , x= 30 degree
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In the figure above, ACD is a line segment. What is the value of x? 24 Aug 2017, 04:54
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10T+8T = 180

t = 10

therefore, 5t + 10t + x = 180
substituting the value of t we get x = 30

Answer = A
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In the figure above, ACD is a line segment. What is the value of x? 24 Aug 2017, 23:20
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∠BCD= ∠ABC + ∠BAC .... ( measure of exterior angle of a triangle is always equal to sum of remote interior angles)
5t + x = 8t
x= 3t

Now in triangle ABC
3t+5t+10t=180
18t=180

x=3t=30.
Hence Answer is A.

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In the figure above, ACD is a line segment. What is the value of x? 29 Aug 2017, 16:19
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Bunuel

In the figure above, ACD is a line segment. What is the value of x?

(A) 30
(B) 33
(C) 36
(D) 40
(E) 45

A straight angle has 180 degrees. We can create the following equation:

10t + 8t = 180

18t = 180

t = 10

The interior angles of a triangle sum to 180 degrees. Thus:

x + 5(10) + 10(10) = 180

x + 50 + 100 = 180

x = 30

Answer: A
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In the figure above, ACD is a line segment. What is the value of x? 07 Sep 2017, 13:13
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As per the given diagram :

10t+8t= 180
t = 10

Thus, 10t +5t +x = 180
x = 30

The correct answer is Option A.

Bunuel : please change the OA after review.
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In the figure above, ACD is a line segment. What is the value of x? 07 Sep 2017, 14:13
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chipsy
As per the given diagram :

10t+8t= 180
t = 10

Thus, 10t +5t +x = 180
x = 30

The correct answer is Option A.

Bunuel : please change the OA after review.

The OA is A. Edited. Thank you.
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