In the given figure- the value of -x- and -y- is- x-45- y-65-x-125- y-65-x-75- y-45-x-125- y-35-

The correct option is B x=125^∘, y=65^∘From angle sum property of a triangle, we have 55^∘ + 60^∘ + y^∘ = 180^∘ ⇒ y = 180^∘ 115^∘ ⇒ y = 65^∘ From exterior an ...

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Standard VIII

Mathematics

Isosceles Triangle and Its Properties

In the given ...

Question

In the given figure, the value of 'x' and 'y' is:

x = 45^{\circ}, y = 65^{\circ}

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x = 125^{\circ}, y = 65^{\circ}

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x = 75^{\circ}, y = 45^{\circ}

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x = 125^{\circ}, y = 35^{\circ}

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Solution

The correct option is B $x = 125^{\circ}, y = 65^{\circ}$
From angle sum property of a triangle, we have
$55^{\circ} + 60^{\circ} + y^{\circ} = 180^{\circ} \Rightarrow y = 180^{\circ} - 115^{\circ} \Rightarrow y = 65^{\circ}$
From exterior angle property of a triangle
$60^{\circ} + 65^{\circ} = x \Rightarrow x = 125^{\circ}$
Hence, the value of 'x' and 'y' is $125^{\circ}$ and $65^{\circ}$ .

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Similar questions

In the given figure, $∠ B = 65^{\circ}$ and $∠ C = 45^{\circ}$ in $Δ A B C$ and $D A E ∥ B C$ . If $∠ D A B = x^{\circ}$ and $∠ E A C = y^{\circ}$ , find the values of $x$ and $y$ .

Q. Factorise the following:
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Q. In the given figure, AB and CD are parallel lines and transversal EF intersects them at P and Q respectively. If ∠APR = 25°, ∠RQC = 30° and ∠CQF = 65°, then

(a) x = 55°, y = 40°

(b) x = 50°, y = 45°

(c) x = 60°, y = 35°

(d) x = 35°, y = 60°

Q. Find the products:

(\frac{- 7}{5} x^{2} y) \times (\frac{3}{2} x y^{2}) \times (\frac{- 6}{5} x^{3} y^{3})

Question 125

Find the values of x and y in the given figure.

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In the given figure, the value of 'x' and 'y' is:

The correct option is B x=125∘,y=65∘From angle sum property of a triangle, we have 55∘+60∘+y∘=180∘⇒y=180∘−115∘⇒y=65∘ From exterior angle property of a triangle 60∘+65∘=x⇒x=125∘ Hence, the value of 'x' and 'y' is 125∘ and 65∘.