Q. 225.0( 2 Votes )

# Given that each of the angles AOC and AOB is a right angle. Show that BOC is a line.

Answer :

Given: ∠ BOA = 90° and ∠ COA = 90°

To prove: BOC is a line.

Proof: BOA and COA are adjacent angles.

∠ BOA = 90° (given)

∠ COA = 90° (given)

⇒ ∠ BOA + ∠ COA = 90°+ 90° = 180°

⇒ BOA and COA form a linear and it have a common arm OA,

.

To prove: BOC is a line.

Proof: BOA and COA are adjacent angles.

∠ BOA = 90° (given)

∠ COA = 90° (given)

⇒ ∠ BOA + ∠ COA = 90°+ 90° = 180°

⇒ BOA and COA form a linear and it have a common arm OA,

.

^{.}. BOC is a line.Rate this question :

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PREVIOUSm and n are two plane mirrors placed parallel to each other as shown in the figure. An incident ray AB to the first mirror is reflected twice in the direction CD, Prove that AB || CD.NEXTA transversal intersects two given lines in such a way that the interior angles on the same side of the transversal are equal. Show by means of a figure that the lines need not be parallel. State the condition under which the two lines will be parallel.

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