【SAT官方每日一题】8/4/12 Mathematics > Standard Multiple Choice

滚吧肥汤圆UID: 3272378

Read the following SAT test question and then click on a button to select your answer.
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( [) x/ T/ {) z0 u8 e" z6 JIn the figure above,
% \$ N5 ^: D: g' W2 P5 M% ~4 ?3 W and
. y1 |7 B* o! a  ~6 \" X' M  a; P. If the dashed lines bisect the angles with measures of
9 C0 U2 T4 L% ~3 B- x  o! m and
, what is the value of
?

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A.  


4 T$ b0 g6 V3 mB.  
! c  B+ A/ c& [9 D' M4 _1 D  k& c
. j7 q4 v( P: ^
C.  
) }: Z5 e; f( B  ~5 X+ {& f
% ^9 P/ I+ U) g6 X' Z# d
D.  
2 y3 o) z% x1 J- n

E.  
1 h& M# X+ c# B2 `1 Z2 h
" J* N2 T( D- V3 }
9 @  E9 F- i: i1 v* H2 w正确答案:E

( {" V) J. g3 K- h# E解析:



First, add the labeled points A, B , C,D ,E , and  Oto the figure, as shown above. Then segment
1 q* O( \# J! `4 a9 d  F* s$ n8 r0 V bisects
, so
, and
. Thus,
6 |: B" N! l# B$ ], R* d . Similarly,
, because  
and  
. Z# \( Z* O0 C" C' C7 c1 qare of equal measure and the sum of their measures is
. From the figure, it follows that
. Therefore,
! c$ D7 J  R+ g* I6 z .

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