O is the centre of the circle shown below. Line DHG is a tangent to the circle. Work out the size of angle a. Justify your answer.

Question

asked Oct 12, 2023 173k views

1 Answer

Ahmed Ktob · Answer 1 · 2023-10-16T19:44:20+0000

$\angle EHF=90^(\circ)$ (an angle inscribed in a semicircle is a right angle)

$\angle HEF=38^(\circ)$ (alternate segment theorem)

$a=52^(\circ)$ (angles in a triangle add to 180 degrees)