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Find the size of angles: ABT; OAB; AED; ABD; CBD.

Find the size of angles: ABT; OAB; AED; ABD; CBD. TQ is a tangent to the circle, centre O. Calculate the size of the angle. Show that angle DCE = ABE and that triangle ABE and BCD are similar. Find the size of the angles x, y and z. Find the size of angle x.

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Find the size of angles: ABT; OAB; AED; ABD; CBD.

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  1. Find the size of angles: ABT; OAB; AED; ABD; CBD.

  2. TQ is a tangent to the circle, centre O. Calculate the size of the angle.

  3. Show that angle DCE = ABE and that triangle ABE and BCD are similar.

  4. Find the size of the angles x, y and z.

  5. Find the size of angle x.

  6. Find in terms of x, y or both the size of angle BHD. Prove that FBCE is a cyclic quadrilateral. Hence, prove that AH is perpendicular to BC.

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