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mathlearn

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*Looks like this question is going to make a long thread. :) This is what the problem states*

View attachment 5914

(i) Construct the triangle ABC according to the measurements shown in the given sketch.

(ii) Construct a perpendicular from A to BC and name the point it meets BC as D.

(iii) Construct the circle that passes through the points A, C and D.

(iv) Construct the tangent to this circle at the point C, and name the point at which it meets AD produced as X.

(v) Show that $\angle$AXC = $\angle$ACB."

Using the pair of compass and a straight edge,

(i) Construct the triangle ABC according to the measurements shown in the given sketch.

Then,

(ii) Construct a perpendicular from A to BC and name the point it meets BC as D.

After That,

(iii) Construct the circle that passes through the points A, C and D.

Thereafter,

(iv) Construct the tangent to this circle at the point C, and name the point at which it meets AD produced as X.

*Thereafter, The question states to mark the point where the tangent and AD produced as 'X'.Now can you help me to state,*

**. and I want to know verify the rest is done correctly. :) The updated diagram,***$\angle$AXC = $\angle$ACB*(v) Show that $\angle$AXC = $\angle$ACB.

Many thanks :)