Question

The angles of a quadrilateral are in the ratio 4:7:15:10. Find all the angles of the quadrilateral.

Answer 1

Step-by-step explanation:

let the angles of a triangle be 4x,7x,15x,10x.

sum of the angles of a quadrilateral is 360°

ATQ,. 4x + 7x + 15x + 10x = 360°

36x = 360°

x = 360°/36 = 10°

first angle is 4x = 4 × 10 = 40°

second angle is 7x = 7 × 10 = 70°

third angle is 15x = 15 × 10 = 150°

fourth angle is 10x = 10 × 10 = 100°

hope it helps you

Answer 2

Answer:-

Sum of all angles in a quadrilateral is 360°

Let the angles be 4x, 7x, 15x and 10x respectively

Now according to the question,

4x + 7x + 15x + 10x = 360

=> 36x = 360

=> x = $\frac{360}{36}$

=> x= 10

∴ First angle = 4x = 40°

Second angle = 7x = 70°

Third angle = 15x = 150°

Fourth angle = 10x = 100°

Answer: The angles of the quadrilateral are 40°, 70°, 150° and 100° respectively

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