Question

In the given figure, AOB is a diameter and DC is parallel to AB. If $\angle$ CAB = $x^o$; find (in terms of x) the values of :(i) $\angle$ COB, (ii) DOC, (iii)$\angle$ DAC,(iv) $\angle$ ADC.

Answer 1

(i) (angles subtended by an chord on the center is double that subtended by the same chord on the circumference)

(ii) (alternate angles)

In

(radius of the same circle)

(iii) (angles subtended by an chord on the center is double that subtended by the same chord on the circumference)

(iv) (given)

(alternate angles)