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# How many degrees is angle x? (1) y = 47° (2) z = 110°

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Math Expert
Joined: 02 Sep 2009
Posts: 51100
How many degrees is angle x? (1) y = 47° (2) z = 110°  [#permalink]

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24 Jan 2016, 05:20
00:00

Difficulty:

25% (medium)

Question Stats:

85% (00:39) correct 15% (00:00) wrong based on 28 sessions

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How many degrees is angle x?

(1) y = 47°
(2) z = 110°

Attachment:

2016-01-24_1719.png [ 2.93 KiB | Viewed 787 times ]

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How many degrees is angle x? (1) y = 47° (2) z = 110°  [#permalink]

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24 Jan 2016, 07:42
(1) y = 47°
$$\angle$$x = 180 - 47 = 133 (Linear pair axiom )
Sufficient

(2) z = 110°
$$\angle$$ABC = 180 - 110 = 70 (Linear pair axiom )
$$\angle$$ ACB = 180 -(63+70) (Sum of all angles of a triangle )
= 47
$$\angle$$ x = 180 - 47 = 133 (Linear pair axiom )
Sufficient

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How many degrees is angle x? (1) y = 47° (2) z = 110° &nbs [#permalink] 24 Jan 2016, 07:42
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