Find each one of lettered angles giving reason

Question

Toppr Admin · Accepted Answer

Let l-x2225-m such that n is the transversal-Now- -x2220-BOP and -x2220-OPC from alternate interior angles-Since- l-x2225-m- therefore-x21D2-x2220-OPC-x2220-BOP - Alternate angles are equal-x21D2-x2220-OPC-x2220-BOP-70-x2218-Hence- -x2220-OPC-a-70-x2218-

Find the value of $a$ if the given lines are parallel.

Let $l ∥ m$ such that $n$ is the transversal.
Now, $∠ B O P$ and $∠ O P C$ from alternate interior angles.
Since, $l ∥ m$ , therefore,
$\Rightarrow ∠ O P C = ∠ B O P$ [ Alternate angles are equal]
$\Rightarrow ∠ O P C = ∠ B O P = 70^{\circ}$
Hence, $∠ O P C = a = 70^{\circ}$

Find the value of a if the given lines are parallel.

Let l∥m such that n is the transversal.Now, ∠BOP and ∠OPC from alternate interior angles.Since, l∥m, therefore,⇒∠OPC=∠BOP [ Alternate angles are equal]⇒∠OPC=∠BOP=70∘Hence, ∠OPC=a=70∘

Find the value of $a$ if the given lines are parallel.

Let $l ∥ m$ such that $n$ is the transversal.
Now, $∠ B O P$ and $∠ O P C$ from alternate interior angles.
Since, $l ∥ m$ , therefore,
$\Rightarrow ∠ O P C = ∠ B O P$ [ Alternate angles are equal]
$\Rightarrow ∠ O P C = ∠ B O P = 70^{\circ}$
Hence, $∠ O P C = a = 70^{\circ}$