Question

The angles of quadrilateral are in the ratio 1:3:7:9 the measure of the largest angle is

Answer 1

Answer:

81°

Step-by-step explanation:

Let the angles be 1x , 3x , 7x and 9x respectively...

We know,

Sum of angles of a quadrilateral = 180°

1x + 3x + 7x + 9x = 180°

20x = 180°

x = 180/20

x = 9°

Largest angle

= 9x

= 9 * 9

= 81°

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Answer 2

Answer:

162°

Step-by-step explanation:

Concept= Sum of angles of quadrilaterals

Given= Angles in  ratio

To find= The largest angle

Explanation=

We have been given the angles of a quadrilateral in the form of ratio.

The angles are 1:3:7:9

Let the measure be 1x,3x,7x,9x

We know that the sum of angles of quadrilateral is 360°

The smallest angle here is 1x

The largest angle here is 9x

There fore the sum of angles given is 360°

so,

1x+3x+7x+9x=360°

20x=360°

x=18°

Therefore the angles are

1x= 1*18= 18°

3x= 3*18=54°

7x= 7*18= 126°

9x= 9*18= 162°

Therefore the measure of the largest angle is 162°

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