91Ó°ÊÓ

• Arrowheads are shown on lines $I$and role="math" localid="1637747737259" $P$, so these lines are parallel
• Line $t$is transversal to the parallel lines $I$and$P$

$∠1$and $∠2$forms linear pair, so sum of these angles is 180

$\begin{array}{c}m∠1+m∠2=180\\ x+m∠2=180\end{array}$

$m∠2=180−x$

Thus,$m∠2=180−x$

$∠2$and $∠3$are vertically opposite angles, so there values are equal

$m∠3=m∠2$

Thus,$m∠3=180−x$

$∠1$and role="math" localid="1637748145577" $∠4$are vertically opposite angles, so there values are equal

role="math" localid="1637748128121" $m∠4=m∠1$

Thus,role="math" localid="1637748117194" $m∠4=x$

Since, corresponding angles are equal

Pair of corresponding angles are

$\left(∠1−∠5\right),\left(∠2−∠6\right),\left(∠3−∠7\right),\text{and}\left(∠4−∠8\right)$

Thus, measurement of these angles are

$m∠5=x$

$m∠6=180−x$

$m∠7=180−x$

$m∠8=x$