Question

Find the measure of angle $x$. (in degrees)

• A. ${68}^{\circ }$
• B. ${75}^{\circ }$
• C. ${37}^{\circ }$
• D. None of these

Answer 1

The correct option is C ${37}^{\circ }$

Tangent chora theorem:-

In any circle, the angle between a chord and a tangent through one of the end point of the chord is equal to the angle in the alternate segment.

$x^o=\angle ABC$ (tangent chord theorem)

$\therefore x^o={37}^o$