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.

Monday, February 16, 2009

Nanyang Pri Sch P6 CA1 2008 Math Q36

The figure below is made up of Triangle FHJ and Trapezium ABDE. Given that GB // FC and BJC is an isosceles triangle, find Angle GHB.



Solution

Angle BCF ----- 106 deg *
Angle BCJ ----- (180 – 106) deg = 74 deg **
Angle BJC ----- 74 deg #
Angle GBH ---- 74 deg *
Angle GHB ----- Angle BGF – Angle GBF ##
= (156 – 74) deg = 82 degrees (Answer)

* corresponding angles
** angles on a straight line
# base angles of isosceles triangle
## exterior angle

No comments: