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