Answer :

Let x be the common multiple.

As per question,

A = 3x

B = 5x

C = 7x

D = 9x

As we know that, Sum of all four angles of quadrilateral is 360^{o}.

A + B + C + D = 360°

3x + 5x + 7x + 9x = 360°

24x = 360°

X = 360/24

= 15°

A = 3 *×* 15° = 45°

B = 5 *×* 15° = 75°

C = 7 *×* 15° = 105°

D = 9 *×* 15° = 135°

So, Angles of quadrilateral are 45°, 75°, 105° and 135°.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Fill in the blankNCERT - Mathematics Exemplar

The number of sidNCERT - Mathematics Exemplar

The sum of all inRS Aggarwal - Mathematics

How many diagonalRS Aggarwal - Mathematics

Each interior angRS Aggarwal - Mathematics

Fill in theRS Aggarwal - Mathematics

Fill in theRS Aggarwal - Mathematics

How many diRS Aggarwal - Mathematics