aminaaslam02
aminaaslam02 aminaaslam02
  • 12-07-2022
  • Mathematics
contestada

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. ​

O is the centre of the circle shown below Line DHG is a tangent to the circleWork out the size of angle a Justify your answer class=

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Medunno13
Medunno13 Medunno13
  • 18-07-2022

[tex]\angle EHF=90^{\circ}[/tex] (an angle inscribed in a semicircle is a right angle)

[tex]\angle HEF=38^{\circ}[/tex] (alternate segment theorem)

[tex]a=52^{\circ}[/tex] (angles in a triangle add to 180 degrees)

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