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# In the figure above, if ABC is a triangle, then x =

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Math Expert
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In the figure above, if ABC is a triangle, then x =  [#permalink]

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20 Aug 2018, 06:28
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In the figure above, if ABC is a triangle, then x =

A. 110°
B. 105°
C. 75°
D. 35°
E. 30°

Attachment:

image043.gif [ 1.3 KiB | Viewed 503 times ]

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Re: In the figure above, if ABC is a triangle, then x =  [#permalink]

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20 Aug 2018, 06:33
Angle B = 180-110 = 70.
Angle C = 180-105 = 75.
Some of the angles in a triangle = 180.
Therefore Angle X = 180-70-75 = 35.

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Re: In the figure above, if ABC is a triangle, then x =  [#permalink]

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20 Aug 2018, 06:40
Bunuel wrote:

In the figure above, if ABC is a triangle, then x =

A. 110°
B. 105°
C. 75°
D. 35°
E. 30°

Attachment:
image043.gif

$$x = 180 - { ( 180 - 110 ) + ( 180 - 105)}$$

Or, $$x = 180 - ( 70 + 75 )$$

Or, $$x = 180 - 145$$

Or, $$x = 35$$ , Answer must be (D)
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Re: In the figure above, if ABC is a triangle, then x =  [#permalink]

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20 Aug 2018, 09:14
angle $$B=180-110=70$$
angle $$C=180-105=75$$
so angle $$A=180-70-75=35$$

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Re: In the figure above, if ABC is a triangle, then x =   [#permalink] 20 Aug 2018, 09:14
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