Question

Here is the question
Find x

Answer 1

Let's name the chord A and B where OA and OB are radii.

in ∆AOB,

according to Angle Sum Property

100° + LA + LB = 180°

Angle A = Angle B , since isosceles triangle property is used where OA = OB = radii of circle.

therefore,

100° + 2LA = 180°

2LA = 80°

LA = 40°

now,

we know that the tangent make 90° with the line that passes through centre

therefore ,

x + 40 = 90

x = 50°

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