Question

If the adjoining fig, line p∥qp∥q, using the measures of the given angles. Find the measure of angles $a,bandc$

Answer 1

$\angle PAB=\angle ABC$ (Alternative angle )

$\Rightarrow \angle AB{C}^{\prime }=80P\parallel Q,l\text{is}\text{transform}$

Now $a+80=180$

$a=100$

Now $a=\angle B{C}^{\prime }D$ (Alternative angle )

$\therefore B{C}^{\prime }D=100$

Again $b+100=180$

$b=80$

$b=c$ (corresponding angle) $P\parallel Q,m\text{is}\text{trasform}$

$b=c=80$