In the figure not drawn to scale, ABCD is a square. BDE and BCF are equilateral triangles. What is Angle FGE?
Solution
Angle BCF ---- 60º (Triangle BCF is an equilateral triangle)
Angle CBD ---- 45º
Angle CBG ---- 60º - 45º = 15º
Angle BGC ---- 180º - 60º - 15º = 105º (sum of angles in a triangle)
Angle FGE ---- 105º (opposite angles)
Answer: 105º
This blog is managed by Song Hock Chye, author of Improve Your Thinking Skills in Maths (P1-P3 series), which is published and distributed by EPH.
Saturday, September 05, 2009
Anglo Chinese School 2007 PSLE Math Prelim Q38
Labels:
Geometry,
Mathematics
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