Difference between revisions of "1956 AHSME Problems/Problem 50"

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==Solution==
 
==Solution==
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<math>x = 45</math>
  
==See Also==
 
 
==See Also==
 
==See Also==
  
{{AHSME 60p box|year=1956|num-b=49|num-a=51}}
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{{AHSME 50p box|year=1956|num-b=49|after=Last Problem}}
  
 
[[Category:Introductory Algebra Problems]]
 
[[Category:Introductory Algebra Problems]]
 
{{MAA Notice}}
 
{{MAA Notice}}

Latest revision as of 00:25, 3 June 2024

Problem

In $\triangle ABC, \overline{CA} = \overline{CB}$. On $CB$ square $BCDE$ is constructed away from the triangle. If $x$ is the number of degrees in $\angle DAB$, then

$\textbf{(A)}\ x\text{ depends upon }\triangle ABC \qquad \textbf{(B)}\ x\text{ is independent of the triangle} \\ \textbf{(C)}\ x\text{ may equal }\angle CAD \qquad \\ \textbf{(D)}\ x\text{ can never equal }\angle CAB \\ \textbf{(E)}\ x\text{ is greater than }45^{\circ}\text{ but less than }90^{\circ}$

Solution

$x = 45$

See Also

1956 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 49
Followed by
Last Problem
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
All AHSME Problems and Solutions

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