Question

In the adjoining figure,$p\parallel q$. Find the unknown angles.

Answer 1

If $p\parallel q$ then

${125}^{\circ }+\angle e={180}^{\circ }$ (linear pair)

$\angle e={55}^{\circ }$

$\angle f={55}^{\circ }$ (vrtically opposite angles)

$\angle a=\angle e$ $\left(pparalleltoq\right)$

$\angle a={55}^{\circ }$

$\angle d={125}^{\circ }$ $\left(pparalleltoq\right)$

$\angle c=\angle f={55}^{\circ }$

$\angle b+\angle c={180}^{\circ }$ (linear pair).

$\angle b={125}^{\circ }$