Question

In the figure, $\angle ADC={84}^o$ and $AB=BC$. Find $\angle$BDC.

Answer 1

Given that:

$\angle ADC={84}^{\circ },AB=BC$

To find:

$\angle BDC=?$

Solution:

$\angle ADB=\angle BDC$ (Equal chords subtend equal angle at any point on the circle.)

Now,

$\angle ADB+\angle BDC=\angle ADC$

or, $2\angle BDC={84}^{\circ }$

or, $\angle BDC={42}^{\circ }$