Two lines AB and CD meet at O - - DOB -2 x -5- and - AOC -85- - Find the value of x in degrees-A- 45

The correct option is A 45 nbsp; Given: nbsp; ∠ DOB= (2x 5)^∘ nbsp; nbsp; nbsp; nbsp; nbsp; nbsp;∠ AOC = 85^∘ nbsp; nbsp; nbsp; ...

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Byju's Answer

Standard VI

Mathematics

Vertically Opposite Angles

Two lines AB ...

Question

Two lines AB and CD meet at O, $∠ D O B = (2 x - 5)^{\circ}$ and $∠ A O C = 85^{\circ}$ . Find the value of $x$ in degrees.
45

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Solution

The correct option is A 45

Given: $∠ D O B = (2 x - 5)^{\circ}$
$∠ A O C = 85^{\circ}$

$∠ D O B$ = $∠ A O C$
[Vertically opposite angles]

$\Rightarrow (2 x - 5)^{\circ} = 85^{\circ}$

$\Rightarrow 2 x = 85^{\circ} + 5^{\circ}$

$\Rightarrow 2 x = 90^{\circ}$

$\Rightarrow x = \frac{90^{\circ}}{2}$

$\Rightarrow x = 45^{\circ}$

$∴$ the value of $x$ is $45^{\circ}$ .

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Two lines AB and CD meet at O, ∠DOB=(2x−5)∘ and ∠AOC=85∘. Find the value of x in degrees.45

The correct option is A 45 Given: ∠DOB=(2x−5)∘ ∠AOC=85∘ ∠DOB = ∠AOC [Vertically opposite angles] ⇒(2x−5)∘=85∘ ⇒2x=85∘+5∘ ⇒2x=90∘ ⇒x=90∘2 ⇒x=45∘ ∴ the value of x is 45∘.

Two lines AB and CD meet at O, $∠ D O B = (2 x - 5)^{\circ}$ and $∠ A O C = 85^{\circ}$ . Find the value of $x$ in degrees.
45