Find the value of angle x in the following figure-A- 90-B- 70-C- 80-D- 60-

The correct option is C 80^∘In the given figure ∠ 1 + 90^∘ = 180^∘ [Linear Pair] ∠ 1 = 90^∘ Now, sum of exterior angles of a polygon is 360^∘ ∴, x + 60^∘ + 90 ...

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Standard VII

Mathematics

Sum of Measures of Exterior Angle of a Polygon

Find the valu...

Question

Find the value of $a n g l e$ x in the following figure.

90^{\circ}

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70^{\circ}

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80^{\circ}

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60^{\circ}

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Solution

The correct option is C $80^{\circ}$
In the given figure $∠ 1 + 90^{\circ} = 180^{\circ}$ [Linear Pair]
$∠ 1 = 90^{\circ}$
Now, sum of exterior angles of a polygon is $360^{\circ}$
$∴$ , $x + 60^{\circ} + 90^{\circ} + 90^{\circ} + 40^{\circ} = 360^{\circ}$
$x + 280^{\circ} = 360^{\circ} x = 80^{\circ}$

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Find the value of angle x in the following figure.

The correct option is C 80∘In the given figure ∠1+90∘=180∘ [Linear Pair] ∠1=90∘ Now, sum of exterior angles of a polygon is 360∘ ∴, x+60∘+90∘+90∘+40∘=360∘ x+280∘=360∘x=80∘

Find the value of $a n g l e$ x in the following figure.