Question

In the given figure, line $p$ is parallel to the line $q$. Line $l$ and line $m$ are transversals. Measures of some angles are shown. Find the measures of $\angle a$ and $\angle c$ .

Answer 1

Now, $\angle a+{110}^{\circ }={180}^{\circ }$ [As they lie on a straight line]

$\Rightarrow \angle a={180}^{\circ }-{110}^{\circ }={70}^{\circ }$

Now, since $p\parallel q$, we get,

$\therefore \angle c={115}^{\circ }$ [Corresponding angles are equal]

Hence, $\angle a={70}^{\circ }$ and $\angle c={115}^{\circ }$