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GMATPrep Geometry Question
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tutonaranjo
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Please help with this question. Answer is C. Help with a good explanation
Because the sides are equal, the triangles are isosceles.
From statement one:
Angle RQS = Angle RSQ --> label this Angle a
From statement two:
Angle TSU = Angle TUS --> label this Angle b
You know the following:
1.) a+b+x=180 (they form a straight line)
2.) (180-a)+(180-b)+x+90=360 (interior angles of a quad.); Simplify: -a-b+x=-90
Combine the two:
a+b+x-a-b+x=180-90
2x=90
x=45.
From statement one:
Angle RQS = Angle RSQ --> label this Angle a
From statement two:
Angle TSU = Angle TUS --> label this Angle b
You know the following:
1.) a+b+x=180 (they form a straight line)
2.) (180-a)+(180-b)+x+90=360 (interior angles of a quad.); Simplify: -a-b+x=-90
Combine the two:
a+b+x-a-b+x=180-90
2x=90
x=45.
