Math, asked by SusmitaRoy68, 10 months ago

The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?​

Answers

Answered by BRAINLYARMY001
3

Answer:

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your answer is here !

Step-by-step explanation:

Given the angles of a quadrilateral are in the ratio of 2:4:7:5

Let the angles of a quadrilateral are 2x, 4x, 7x, 5x

But we know that sum of the angles = 360 degrees.

=> 2x + 4x + 7x + 5x = 360

=> x = 20

Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.

One of the angle of the triangle = 2 x 40 = 80 degrees

The other angle is 180 - (40 + 80) = 60 degrees.

Hence the second largest angle of the triangle is 60 degrees.

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Answered by Rudra2007
2

Answer:

Step-by-step explanation:

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