If - COB - 90- then - AOB equals

Clearly, since all the angles lie on the same line, we can say that ∠ COD + nbsp;∠ BOC + nbsp;∠ AOB = 180^∘ ⇒ 18^∘ nbsp; + 90^∘ + nbsp;∠AOB = 180^∘ ⇒∠ A ...

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Byju's Answer

Standard VII

Mathematics

180 Degrees or Straight Angle

If ∠ COB = 90...

Question

If $∠ C O B = 90^{\circ}$ , then $∠ A O B$ equals

62^{\circ}

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72^{\circ}

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82^{\circ}

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92^{\circ}

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Solution

The correct option is B $72^{\circ}$
Clearly, since all the angles lie on the same line, we can say that $∠ C O D + ∠ B O C + ∠ A O B = 180^{\circ}$
$\Rightarrow 18^{\circ} + 90^{\circ} + ∠ A O B = 180^{\circ}$
$\Rightarrow ∠ A O B = 180^{\circ} - 90^{\circ} - 18^{\circ}$
$\Rightarrow ∠ A O B = 72^{\circ}$

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If ∠COB=90∘, then ∠AOB equals

The correct option is B 72∘Clearly, since all the angles lie on the same line, we can say that ∠COD+∠BOC+∠AOB=180∘ ⇒18∘+90∘+∠AOB=180∘ ⇒∠AOB=180∘−90∘−18∘ ⇒∠AOB=72∘

If $∠ C O B = 90^{\circ}$ , then $∠ A O B$ equals