In the given figure, the value of x is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 70
Angles in the same segment of a circle are equal: angles standing on the same chord, on the same side of it, are equal. Angles ACB and ADB both stand on the chord AB, so \(\angle ADB=\angle ACB=30^\circ\). Then x is found from the angle sum of triangle ABD (shaded).
In triangle ABD: \(\angle DAB=80^\circ\), \(\angle ADB=30^\circ\), \(\angle ABD=x^\circ\)
\(80+30+x=180\)
\(x=70\)