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In the figure above, if lines m, n, p are parallel, what is the sum of [#permalink]
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01 Aug 2017, 05:07
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Re: In the figure above, if lines m, n, p are parallel, what is the sum of [#permalink]
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01 Aug 2017, 07:10
Quote: Extend the line from m to n, a triangle is formed. The line which is formed at the intersection of the line n and the extended line is 180x Therefore, the angle inside the triangle is x. In the triangle formed, the angle on the line is 180(40+60) = 80 degree. Since the sum of angles in a triangle is 180 degree, x+y+80 = 180 x+y = 100 degree(Option E)
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Re: In the figure above, if lines m, n, p are parallel, what is the sum of [#permalink]
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01 Aug 2017, 07:17
Bunuel wrote: In the figure above, if lines m, n, p are parallel, what is the sum of x + y? (A) 40 (B) 60 (C) 80 (D) 90 (E) 100 Attachment: 20170801_1351_001.png Let us name straight line between m and n as R P makes same angle on m as on n . that means P makes 40 degree angle at m hence X=4o Let us name straight line between n and p as T p makes same angle on n as on p . that means T makes 60 degree angle at p hence Y=60 x+y=40+60=100 hence option (E)
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In the figure above, if lines m, n, p are parallel, what is the sum of [#permalink]
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01 Aug 2017, 18:01
Bunuel wrote: In the figure above, if lines m, n, p are parallel, what is the sum of x + y? (A) 40 (B) 60 (C) 80 (D) 90 (E) 100 Attachment: 20170801_1351_001.png Lines m, n, and p are parallel lines that are cut by two transversals. (Extend both slanted lines to visualize.) Alternate interior angles of parallel lines cut by a transversal are equal. x and 40° are alternate interior angles. x = 40 y and 60° are alternate interior angles. y = 60 x + y = 100 Answer E
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Re: In the figure above, if lines m, n, p are parallel, what is the sum of [#permalink]
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02 Aug 2017, 13:31
Bunuel wrote: In the figure above, if lines m, n, p are parallel, what is the sum of x + y? (A) 40 (B) 60 (C) 80 (D) 90 (E) 100 Attachment: 20170801_1351_001.png Since lines m, n, and p are parallel, we see that x = 40 and y = 60; thus, x + y = 100. Answer: E
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Re: In the figure above, if lines m, n, p are parallel, what is the sum of
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