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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
If a = y, g = 3y + 20, and f = 2x, find x.
[#permalink]
09 Mar 2021, 22:23
09 Mar 2021, 22:23
Expert Reply
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Question Stats:
100% (02:09) correct
0% (00:00) wrong based on 4 sessions
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If a = y, g = 3y + 20, and f = 2x, find x where line XY is parallel to line QU.
A. 50°
B. 60°
C. 70°
D. 80°
E. 90°
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
If a = y, g = 3y + 20, and f = 2x, find x.
[#permalink]
17 Mar 2021, 02:52
17 Mar 2021, 02:52
Expert Reply
Official Explanation
You know that angles a and g are supplementary; their measures sum to 180. Therefore:
\(y+3y+20=180
4y=160
y=40\)
Angle f is equal to angle g, so its measure is also \(3y + 20.\) The measure of angle \(f = g = 3(40) + 20 = 140.\) If \(f = 2x,\) then \(140 = 2x\) and, therefore \(x = 70.\)
Answer: C
You know that angles a and g are supplementary; their measures sum to 180. Therefore:
\(y+3y+20=180
4y=160
y=40\)
Angle f is equal to angle g, so its measure is also \(3y + 20.\) The measure of angle \(f = g = 3(40) + 20 = 140.\) If \(f = 2x,\) then \(140 = 2x\) and, therefore \(x = 70.\)
Answer: C
gmatclubot
If a = y, g = 3y + 20, and f = 2x, find x. [#permalink]
17 Mar 2021, 02:52
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