Question

The angles of a quadrilateral are in the ratio 5:7:11:13. Find all the angles of the

quadrilateral.
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Answer 1

Answer:

The measure of all the angles of the quadrilateral are 50⁰,70⁰,110⁰ and 130⁰

Step-by-step explanation:

As the sum of all the angles of a quadrilateral is 360⁰

5/36*360 = 50⁰

7/36*360 = 70⁰

11/36*360 = 110⁰

13/36*360 = 130⁰

Therefore the angles of a quadrilateral are 50⁰,70⁰,110⁰ and 130⁰

Answer 2

In context to questions asked,

We have to determine the value of angle of quadrilateral.

As per questions,

The angle are in ratio of 5:7:11:13

As we know that,

Sum of all angles of quardilateral is 360 degree.

So, let the angle will be 5x, 7x, 11x, 13x

So, from above,

$5x + 7x + 11x + 13x = {360}^{0} \\ = > 36x = {360}^{0} \\ = > x = \frac{360}{36} \\ = > x = {10}^{0}$

Hence value of the angle will be,

$5x = {50}^{0} \\ 7x = {70}^{0} \\11x = {110}^{0} \\ 13x = {130}^{0}$