Question

The sum of three quadrilaterals is 5 times the fourth angle , find the fourth angle ?

Answer 1

Answer:

Heya mate.....

Let x, y, z and a are the first, second, third and fourth angles of the quadrilateral.

Let x, y, z and a are the first, second, third and fourth angles of the quadrilateral.Given, the sum of three angles of a quadrilateral is 5 times the fourth angle

Let x, y, z and a are the first, second, third and fourth angles of the quadrilateral.Given, the sum of three angles of a quadrilateral is 5 times the fourth angle=> x + y + z = 5a

Let x, y, z and a are the first, second, third and fourth angles of the quadrilateral.Given, the sum of three angles of a quadrilateral is 5 times the fourth angle=> x + y + z = 5aNow, sum of all the angles in a quadrilater = 360

Let x, y, z and a are the first, second, third and fourth angles of the quadrilateral.Given, the sum of three angles of a quadrilateral is 5 times the fourth angle=> x + y + z = 5aNow, sum of all the angles in a quadrilater = 360=> x + y + z + a = 360

Let x, y, z and a are the first, second, third and fourth angles of the quadrilateral.Given, the sum of three angles of a quadrilateral is 5 times the fourth angle=> x + y + z = 5aNow, sum of all the angles in a quadrilater = 360=> x + y + z + a = 360=> 5a + a = 360

Let x, y, z and a are the first, second, third and fourth angles of the quadrilateral.Given, the sum of three angles of a quadrilateral is 5 times the fourth angle=> x + y + z = 5aNow, sum of all the angles in a quadrilater = 360=> x + y + z + a = 360=> 5a + a = 360=> 6a = 360

Let x, y, z and a are the first, second, third and fourth angles of the quadrilateral.Given, the sum of three angles of a quadrilateral is 5 times the fourth angle=> x + y + z = 5aNow, sum of all the angles in a quadrilater = 360=> x + y + z + a = 360=> 5a + a = 360=> 6a = 360=> a = 360/6

Let x, y, z and a are the first, second, third and fourth angles of the quadrilateral.Given, the sum of three angles of a quadrilateral is 5 times the fourth angle=> x + y + z = 5aNow, sum of all the angles in a quadrilater = 360=> x + y + z + a = 360=> 5a + a = 360=> 6a = 360=> a = 360/6=> a = 60

Therefore, the fourth angle is 60°.

Hope it helps.....

Answer 2

Answer:

The ANSWER is in attachment....

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