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Conjectures

In the adjoin...

Question

In the adjoining figure, $A B C D$ is a square. $A$ line segment $C X$ cuts $A B$ at $X$ and the diagonal $B D$ at $O$ such that $∠ C O D = 80^{\circ}$ and $∠ O X A = x^{\circ}$ , then the value of $x$ is

125^{\circ}

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120^{\circ}

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130^{\circ}

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140^{\circ}

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Solution

The correct option is A $125^{\circ}$
$A B C D$ is a square

$∠ 1 = ∠ 2 = 45^{0}$

$∠ 3 = 80$ $(V . O . A .)$

$x = ∠ 1 + ∠ 3$ $= 80 + 45 = 125.$

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Similar questions

Q. In the adjoining figure, ABCD is a square. A line segment CX cuts AB at X and the diagonal BD at O such that ∠COD = 80° and ∠OXA = x°. Find the value of x.

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1288747_5069481ef62648c6a33eec5b32792480.1288747-Q

In the figure ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that ∠COD = 105^o and ∠OXC = y. Then y is equal to

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In the adjoining figure, ABCD is a square. A line segment CX cuts AB at X and the diagonal BD at O such that ∠COD=80∘ and ∠OXA=x∘, then the value of x is

The correct option is A 125∘ABCD is a square∠1=∠2=450∠3=80 (V.O.A.)x=∠1+∠3=80+45=125.

In the adjoining figure, $A B C D$ is a square. $A$ line segment $C X$ cuts $A B$ at $X$ and the diagonal $B D$ at $O$ such that $∠ C O D = 80^{\circ}$ and $∠ O X A = x^{\circ}$ , then the value of $x$ is

The correct option is A $125^{\circ}$
$A B C D$ is a square

$∠ 1 = ∠ 2 = 45^{0}$

$∠ 3 = 80$ $(V . O . A .)$

$x = ∠ 1 + ∠ 3$ $= 80 + 45 = 125.$