Question

In the diagram, $\ell$ and $m$ are parallel line. The sum of the angles A, Band C marked in the diagram is-

• A. ${180}^o$
• B. ${270}^o$
• C. ${360}^o$
• D. ${300}^o$

Answer 1

The correct option is C ${360}^o$

$\angle 1=\angle A$
$\angle 2=\angle B$
$\angle 5=\angle C$
$\angle 1=\angle 3$ (A.I.A.)
$\angle 4=\angle 5$ (A.I.A.)
$\angle A+\angle B+\angle C$
$=\angle 1+\angle 2+\angle 5=\angle 2+\angle 3+\angle 4={360}^o$ (sum of angle around a point)