How to work out? X is an angle at a point between two tangents. The tangents join as a chord, which is the base of another triangle, top angle 43 (given)


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Goaty McSheepson Profile

The answer was 94.

I used the alternate segment theorem to determine that an angle in the triangle with x on was 43 degrees.

This was an isosceles triangle because tangents from a point are equal in length. Base angles in an isosceles triangle are equal so that meant that:

x = 180 - (2 x 43)

x = 180 - 86

x = 94 degrees

Because angles in a triangle sum to 180 degrees.

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