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In the figure, if x = 54˚ and y = 72˚, then z =
[#permalink]
07 Dec 2021, 08:07
07 Dec 2021, 08:07
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In the figure, if x = 54˚ and y = 72˚, then z =
(A) 54˚
(B) 56˚
(C) 72˚
(D) 76˚
(E) 98˚
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
In the figure, if x = 54 and y = 72, then z =
[#permalink]
07 Dec 2021, 08:34
07 Dec 2021, 08:34
1
Carcass wrote:
In the figure, if x = 54˚ and y = 72˚, then z =
(A) 54˚
(B) 56˚
(C) 72˚
(D) 76˚
(E) 98˚
Since opposite angles are equal we can add x˚ and y˚ to the diagram as follows:
From here, since angles on a line must add to 180°, we can write: x + y + z = 180
Plug in x = 54˚ and y = 72˚ to get: 54 + 72 + z = 180
Simplify the equation: 126 + z = 180
Solve: z = 54
Answer: A
gmatclubot
In the figure, if x = 54 and y = 72, then z = [#permalink]
07 Dec 2021, 08:34
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