Math, asked by girija1726, 8 months ago

two adjacent angles of a quadrilateral measure 130° and 40°. Then find the sum of the remaining two angles

Answers

Answered by cafatia2005
15

Answer:

190°

Explanation:

Let ∠1 be 130° and ∠2 be 40°

Sum of all interior angles of a quadrilateral = 360°

So, ∠1 + ∠2 + ∠3 + ∠4 = 360°

130° + 40° + ∠3 + ∠4 = 360°

170° + ∠3 + ∠4 = 360°

∠3 + ∠4 = 360° - 170°

∠3 + ∠4 = 190°

Answered by SharadSangha
8

Given:

The measure of 1st angle of two adjacent angles in the quadrilateral = 130°

The measure of 2nd angle of two adjacent angles in the quadrilateral = 40°

To find:

Sum of other two angles of quadrilateral =?

Solution:

A quadrilateral is a polygon having four sides and two of them are parallel to each other.

Two adjacent angles of a quadrilateral are those that share one common side.

To find sum total of the other two angles steps are:

=> Let "∠a" be the angle of one side.

=> Let "∠b" be the angle of another remaining side.

=> Let "Y" be the sum of two angles in this quadrilateral.

Y = ∠a + ∠b

We know quadrilateral is the polygon in which angle of all the sides sums up to 360°.

∴ ∠1st adjacent angle + ∠2nd adjacent angle + ∠a +∠b = 360°

=> 130° + 40° + Y =360°

=> 170° + Y = 360°

=> Y = 360° - 170°

=> Y = 190°

=> ∠a + ∠b = 190°

Hence the sum of two remaining angles of a quadrilateral is 190°.

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