Math, asked by palg4874, 9 months ago

The sum of the two angies of a quadrilateral is
180° What is the sum of the other two angles?​

Answers

Answered by samirakha
1

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Answered by pulakmath007
8

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A quadrilateral is a polygon with four sides, 4 vertices

We know that Sum of all internal angles with n sided polygon is

 = 2 \times (n - 2) \times  {90}^{ \circ}

Now for a quadrilateral n = 4

So the sum of all angles of a quadrilateral

 = 2 \times (4 -2 ) \times  {90}^{ \circ}

 = 4 \times  {90}^{ \circ}

 =  {360}^{ \circ}

Now it is given that the sum of the two angles of the quadrilateral is 180°

Hence the sum of the other two angles

 = {360}^{ \circ}  -   {180}^{ \circ}

 = {180}^{ \circ}

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