In the given figure AB-CD- If - CDE - 85-then find the value of x nbsp-and y nbsp-respectively- 95- 85-85- 95-90- 90-105- 75-

The correct option is A 95^∘, 85^∘ Given, AB || CD nbsp; nbsp; ∴ x+85^∘=180^∘ (Cointerior angles) ⇒ x= 180^∘ 85^∘ ⇒ x= 95^∘ y= 85^∘ (Alternate interio ...

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Standard VIII

Mathematics

Properties of Angles Formed by Two Parallel Lines and a Transversal

In the given ...

Question

In the given figure AB||CD.
If $∠ C D E = 85^{\circ}$ ,then find the value of x and y respectively.

$95^{\circ}, 85^{\circ}$

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$85^{\circ}, 95^{\circ}$

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$90^{\circ}, 90^{\circ}$

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$105^{\circ}, 75^{\circ}$

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Solution

The correct option is A
$95^{\circ}, 85^{\circ}$

Given, AB || CD

$∴$ $x + 85^{\circ} = 180^{\circ}$
(Cointerior angles)

$\Rightarrow x = 180^{\circ} - 85^{\circ}$

$\Rightarrow x = 95^{\circ}$

$y = 85^{\circ}$
(Alternate interior angles)

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Similar questions

Q. 9.Find the mean, variance and standard deviation using short-cut methodHeight 70-75 75-80 80-85 85-90 90-95 95-100 100-105 105-110 110-115in cmsNo. of 3 4 7 7children15 96

Q. In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =

(a) 85°

(b) 90°

(c) 95°

(d) 100°

In the given figure, $O$ is the centre of a circle. If $∠ A O B = 100^{\circ}$ and $∠ A O C = 90^{\circ}$ , then $∠ B A C = ?$

(a) $85^{\circ}$

(b) $80^{\circ}$

(d) $75^{\circ}$

Find the mean, variance and standard deviation using short-cut method

Height in cms	No. of children
70-75	3
75-80	4
80-85	7
85-90	7
90-95	15
95-100	9
100-105	6
105-110	6
110-115	3

In the given figure AB||CD.
If $∠ C D E = 85^{\circ}$ ,then find the value of x and y respectively.

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In the given figure AB||CD. If ∠CDE=85∘,then find the value of x and y respectively.

The correct option is A 95∘, 85∘ Given, AB || CD ∴ x+85∘=180∘ (Cointerior angles) ⇒x=180∘−85∘ ⇒x=95∘ y=85∘ (Alternate interior angles)

In the given figure AB||CD.
If $∠ C D E = 85^{\circ}$ ,then find the value of x and y respectively.

The correct option is A
$95^{\circ}, 85^{\circ}$

Given, AB || CD

$∴$ $x + 85^{\circ} = 180^{\circ}$
(Cointerior angles)

$\Rightarrow x = 180^{\circ} - 85^{\circ}$

$\Rightarrow x = 95^{\circ}$

$y = 85^{\circ}$
(Alternate interior angles)